This is a list of references, mostly in representation theory and some in automorphic forms. It is somewhat random, out of date, and updated irregularly. Send corrections to Last update: 8/18/95.

David Vogan has also given me his list of references. You might also be interested in Paul Garrett's bibliography for automorphic forms, L-functions, and representations.

  1. [J. Adams]
  2. [G. Anderson], "Theta functions and holomorphic differential forms on compact quotients of bounded symmetric domains," Duke Math. J. 50 (1983), 1137-1170.
  3. [J. Arthur], "On Some Problems Suggested By the Trace Formula," in Proc. of the Special Year in Harmonic Analysis, University of Maryland, R. Herb, R. Lipsman & J. Rosenberg, eds., Springer Lecture Notes #1024, Springer-Verlag, New York, 1983.
  4. [J. Arthur], "Unipotent Autormorphic Representations: Conjectures," preprint, to appear in Asterisque.
  5. [A. Aubert & J. Michel], "Correspondance de Howe pour les groupes finis," preprint.
  6. [D. Barbasch, J. Adams]
  7. [D. Barbasch], "The Unitary Dual for Complex Classical Lie Groups," Invent. Math. 96 (1989), 103-176.
  8. [D. Barbasch & D. Vogan], "Unipotent Representations of Complex Semisimple Groups," Ann. of Math. (2) 121 (1985), 41-110.
  9. [D. Barbasch & D. Vogan], "The local structure of characters," J. Funct. Anal. 37 (1980), 27-55.
  10. [V. Bargmann], "Group representation on Hilbert spaces of analytic functions," in Analytical methods in mathematical physics, R. Gilbert & R. Newton, eds., Gordon and Breach, New York, 1970, 27-63.
  11. [V. Bargmann], "On a Hilbert space of analytic functions and an associate integral transform I," Comm. Pure Appl. Math. (1961).
  12. [A. Beilinson & V. Ginsburg], "Mixed Categories, Ext-Duality and Representations (Results and Conjec- tures)," preprint.
  13. [A. Beilinson, V. Ginzburg & W. Soergel], "Koszul Duality Patterns in Representation Theory," preprint.
  14. [I.N. Bernstein, I.M. Gel'fand & S.I. Gel'fand], "Algebraic Bundles over Pn and Problems of Linear Alge- bra," Funktsional. Anal. i Prilozhen. 12 (July-September 1978), 66-67, (available in English).
  15. [A. Borel], "Automorphic L-Functions," in Automorphic Forms, Representations and L-Functions (part 2), A. Borel & W. Casselman, eds., Proc. Symp. Pure Math. #33, American Math. Soc., Providence, Rhode Island, 1979, 27-61.
  16. [A. Borel & N. Wallach], Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups, Princeton University Press, Princeton, 1980.
  17. [A. Bouaziz], "Sur les Caracteres des Groups de Lie Reductifs non Connexes," J. Funct. Anal. 70 (1987), 1-79.
  18. [H. Cartan & S. Eilenberg], Homological Algebra, Princeton University Press, Princeton, 1956.
  19. [P. Cartier], "Quantum mechanical commutation relations and -functions," in Algebraic groups and dis- continuous subgroups, G.D. Mostow & A. Borel, eds., Proc. Symp. Pure Math. #9, American Math. Soc., Providence, Rhode Island, 1966, 361-383.
  20. [W. Casselman], "Jacquet modules for real reductive groups," Proceedings of the International Congress of Mathematicians, Helsinki (1978).
  21. [W. Casselman], "On the representations of SL2(k) related to binary quadratic forms," Amer. J. Math. 94 (1972), 810-834.
  22. [W. Casselman & M.S. Osborne], "The n-cohomology of representations with an infinitesimal character," Compositio Math. 31 (1975), 219-227.
  23. [M. Duflo], "Constructions de Representations Unitaires d'un Groupe de Lie," Napoli , 1982.
  24. [M. Duflo], Representations irreductibles des groupes semi-simples complexes, Lect Notes in Math. #497, Springer-Verlag, Berlin-Heidelberg-New York, 1975.
  25. [M. Duflo], "Sur la Classification des ideaux primitifs dans l'algebra enveloppante d'une algebra de Lie semi-simple," Ann. of Math. (2) 105 (1977), 107-120.
  26. [M. Duflo, G. Heckman & M. Vergne], "Projection d'Orbites, Formule de Kirillov et Formule de Blattner," SMF deuxieme serie Memoire n. 15 (1984), 65-128.
  27. [T. Enright], "Analogues of Kostant's u cohomology formulas for unitary highest weight modules," J. Reine Angew. Math. 3 (1988).
  28. [T. Enright, R. Howe & N. Wallach], "A Classification of Unitary Highest Weight Modules," Proceedings of the Univ. of Utah Conference, Boston (1983).
  29. [Y. Flicker], "Automorphic Forms on Covering Groups of GL(2)," Invent. Math. 57 (1980), 119-182.
  30. [S. Gelbart], "Holomorphic discrete series for the real symplectic group," Invent. Math. 19 (1973), 19-58.
  31. [S. Gelbart], "Some Example of Dual Reductive Pairs," in Automorphic Forms, Representations and L- Functions (part 1), A. Borel & W. Casselman, eds., Proc. Symp. Pure Math. #33, American Math. Soc., Providence, Rhode Island, 1979, 287-296.
  32. [V.A. Ginzburg], "Equivariant Cohomologies and K^ahler's Geometries," Funktsional. Anal. i Prilozhen. 21 (October-December 1987), 19-34, (available in English).
  33. [B. Gross & D. Prasad], "On the decomposition of a representation of SOn when restricted to SOn-1," Canad. J. Math. 44 (1992), 974-1002.
  34. [Harish-Chandra], "Invariant Eigendistributions on a Semisimple Lie Group," Trans. Amer. Math. Soc. 119 (1965), 457-508.
  35. [Harish-Chandra], "The characters of semisimple Lie groups," Trans. Amer. Math. Soc. 83 (1956), 98-163.
  36. [Harish-Chandra], "Discrete series for semisimple Lie groups I," Acta Math. 113 (1965), 241-318.
  37. [Harish-Chandra], "Discrete series for semisimple Lie groups. II," Acta Math. 116 (1966), 1-111.
  38. [H. Hecht], "The characters of some representations of Harish-Chandra," Math. Ann. 219 (1976), 213-226.
  39. [H. Hecht & W. Schmid], "Characters, Asymptotics, and n-Homology of Harish-Chandra Modules," Acta Math. 151 (1983), 49-151.
  40. [S. Helgason], in Differential Geometry, Lie Groups, and Symmetric Spaces, Academic Press, New York, 1978.
  41. [T. Hirai], "Invariant eigendistributions of Laplace operators on real simple Lie groups, II," Japan. J. Math. (N.S.) 2 (1976), 27-89.
  42. [T. Hirai], "Invariant eigendistributions of Laplace operators on real simple Lie groups, I," Japan. J. Math. (N.S.) 39 (1970), 1-68.
  43. [T. Hirai], "The characters of some induced representations of semisimple Lie groups," J. Math. Kyoto Univ. 8 (1968), 313-363.
  44. [T. Hirai], "Some remarks on invariant eigendistributions on semisimple Lie groups," J. Math. Kyoto Univ. 12 (1972), 393-411.
  45. [R. Howe], "Notes on Dual Pairs," Yale University, preprint.
  46. [R. Howe], "Transcending Classical Invariant Theory," Journal Amer. Math. Soc. 2 (July, 1989), 535-552.
  47. [R. Howe], "Remarks on Classical Invariant Theory," Trans. Amer. Math. Soc. 313 (June, 1989), 539-570.
  48. [R. Howe], "The Character of the Oscillator Representation," preprint.
  49. [R. Howe], "The Oscillator semigroup", Proc. Symp. Pure Math. #48, American Math. Soc., Providence, RI, 1988.
  50. [R. Howe & E.C. Tan], Non-Abelian Harmonic Analysis. Applications of SL(2; R), Springer-Verlag, New York, 1992.
  51. [R. Howe], "L2-Duality for Stable Dual Pairs," preprint.
  52. [R. Howe], "Perspectives on invariant theory: Schur duality, multiplicity-free actions and beyond," Israeli Journal (1994).
  53. [R. Howe], "Wave Front Sets of Representations of Lie Groups," in Automorphic Forms, Representation Theory, and Arithmetic, Studies in Math. #10, Tata Institute of Fundamental Research, Bombay, 1981.
  54. [R. Howe], "Reciprocity Laws in the Theory of Dual Pairs," Proceedings of the Univ. of Utah Conference, Boston (1983.).
  55. [R. Howe], Dual Pairs in Physics: Harmonic Oscillators, Photons, Electrons, and Singletons, Lectures in Applied Math #21, American Math. Soc., Providence, RI, 1985.
  56. [R. Howe], "Quantum Mechanics and Partial Differential Equations," J. Funct. Anal. 38 (1980), 188-254.
  57. [R. Howe], "Oscillator Representation: Algebraic and Analytic Preliminaries," Preprint.
  58. [R. Howe], "On some results of Strichartz and of Rallis and Schiffman," J. Funct. Anal. 32 (1979), 297-303.
  59. [R. Howe], "theta-series and Invariant Theory," in Automorphic Forms, Representations and L-Functions (part 1), A. Borel & W. Casselman, eds., Proc. Symp. Pure Math. #33, American Math. Soc., Providence, RI, 1979, 275-286.
  60. [R. Howe & I. Piatetski-Shapiro], "A Counterexample to the"Generalized Ramanujan Conjecture" for (Quasi)-split Groups," in Automorphic Forms, Representations and L-Functions (part 1), A. Borel & W. Casselman, eds., Proc. Symp. Pure Math. #33, American Math. Soc., Providence, Rhode Island, 1979, 315-322.
  61. [J.-S. Huang], "The unitary dual of the universal covering group of GL(n; R)," Duke Math. J. 61 (1990), 705-745.
  62. [J. Humphreys], Introduction to Lie Algebras and Representation Theory, Springer-Verlag, New York, 1972.
  63. [H. Jacquet & R.P. Langlands], Automorphic Forms on GL(2), Springer Lecture Notes #114, Springer- Verlag, New York, 1970.
  64. [J. Johnson, J. Adams]
  65. [V. Kac], Infinite dimensional Lie algebras, 3rd. ed, Cambridge University Press, Cambridge, 1990.
  66. [M. Kashiwara], Systems of microdifferential equations, Progress in mathematics #34, Birkhäuser, Stuttgart,| 1983.
  67. [M. Kashiwara & M. Vergne], "On the Segal-Shale-Weil Representations and Harmonic Polynomials," Invent. Math. 44 (1978), 1-47.
  68. [D. Kazhdan], "Some applications of the Weil representations," Jour. D'Analyse Math 32 (1977), 235-248.
  69. [A. Knapp], "Weyl group of a cuspidal parabolic," Ann. Sci. Ecole Norm. Sup. (4) 8 (1975), 275-294.
  70. [A. Knapp], Representation Theory of Semisimple Groups. An overview based on examples, Princeton University Press, Princeton, NJ, 1986.
  71. [A. Knapp], Lie groups, lie algebras, and cohomology, Princeton University Press, Princeton, N.J. : , 1988.
  72. [A. Knapp & G. Zuckerman], "Classification of irreducible tempered representation of semisimple Lie groups," Ann. of Math. (2) 116 (1982), 389-501.
  73. [B. Kostant], "Lie algebra cohomology and the generalized Borel-Weil theorem," Ann. of Math. (2) (1961).
  74. [R. Kottwitz], "Sign changes in harmonic analysis on reductive groups," Trans. Amer. Math. Soc. 278 (1983), 289-297.
  75. [S. Kudla, M. Harris & W. Sweet], "Theta Dichotomy for Unitary Groups," preprint.
  76. [S. Kudla], "Seesaw Dual Reductive Pairs," in Automorphic Forms of Several Variables, Progress in Math. #46, Boston, 1984, 244-268..
  77. [S. Kudla & . J. Millson], "The theta correspondence and harmonic forms. I," Math. Ann. 273 (1986), 353-378.
  78. [S. Kudla], "On the Local Theta Correspondence," Invent. Math. 83 (1986), 229-255.
  79. [S. Kudla & S. Rallis], "Degenerate Principal Series and Invariant Distributions," Israel J. Math. 69 (1990), 25-45.
  80. [S. Kudla], "Splitting Metaplectic Covers of Dual Reductive Pairs," Israel J. Math..
  81. [S. Kudla], "On the Weil-Siegel formula (III)," J. Reine Angew. Math. 387, 391 (1988), 1-168, 65-84.
  82. [R. Kunze], "Bessel functions and representation theory II," J. Funct. Anal. 25 (1977), 1-49.
  83. [R. Kunze], "Fourier Bessel transforms and holomorphic discrete series," in Proceedings of the Maryland conference on harmonic analysis, Lecture Notes in Math. #266, Springer-Verlag, 1977.
  84. [N. Kurokawa], "Examples of eigenvalues of Hecke operators on Siegel cusp forms of degree two," Invent. Math. 49 (1978), 149-165.
  85. [R. Langlands], Letter from R. Langlands to R. Howe (unpublished).
  86. [R. Langlands], "On the Classification of Irreducible Representations of Real Algebraic Groups," in Rep- resentation Theory and Harmonic Analysis on Semisimple Lie Groups, P. Sally & D. Vogan, eds., Math- ematical Surveys and Monographs #31, American Mathematical Society, Providence, 1989.
  87. [R. Langlands], "Stable Conjugacy: Definitions and Lemmas," Canad. J. Math. 31 (1979), 700-725.
  88. [R. Langlands & D. Shelstad], "On the Definition of Transfer Factors," Math. Ann. 278 (1987), 219-271.
  89. [J.-S. Li], "Singular unitary representations of classical groups," Invent. Math. 97 (1989), 237-255.
  90. [J.-S. Li], "Theta liftings for unitary representations with non-zero cohomology," Duke Math. J. Vol. 61 (1990), 913-937.
  91. [J.-S. Li], "Non-vanishing Theorems for the Cohomology of Certain Arithmetic Quotients," to appear in Crelle's Journal.
  92. [J.-S. Li], "Singular unitary representations of classical groups," Invent. Math. 97, (1989), 237-255.
  93. [G. Lusztig], "Intersection cohomology methods in representation theory," preprint, 1990.
  94. [S. Maclane], Homology, Springer Verlag, New York, 1975.
  95. [D. Manderscheid], "Supercuspidal Duality for the Two-Fold Cover of SL2 and the split O3," Amer. J. Math. 107 (1985), 1305-1323.
  96. [Y. I. Manin], "Some Remarks on Koszul Algebra and Quantum Groups," Ann. Inst. Fourier (Grenoble) 37 (1987), 191-205.
  97. [S. Martens], "The characters of the holomorphic discrete series," Proc. Nat. Acad. Sci. U.S.A. 72 (1975), 3275-3276.
  98. [D. Milicic], "Asymptotic beavior of matrix coefficients of the discrete series," Duke Math. J. 44 (1977), 59-88.
  99. [J. Millson], "On the first Betti number of a constant negatively curved manifold," Ann. of Math. (2) 104 (1976), 235-247.
  100. [C. Moeglin], "Correspondance de Howe pour les Paires Reductives Duales, Quelques Calculs Dans le Cas Archimedien," J. Funct. Anal. 85 (1989), 1-85.
  101. [C. Moeglin, M. F. Vigneras & J.L. Waldspurger], Correspondances de Howe sur un corps p-adique, Springer Lecture Notes #1291, Springer-Verlag, Berlin, 1987 .
  102. [Morris], "Fundamental G-Strata for Classical Groups," preprint.
  103. [A. Moy, J. Adams]
  104. [K. Nishiyama], "Virtual characters and constant coefficient invariant eigendistributions on a semisimple Lie Group," Japan. J. Math. (N.S.) 12 (1986), 75-94.
  105. [M. S. Osborne], "Lefschetz formulas on non-elliptic complexes," Yale University Thesis, 1972.
  106. [K. R. Parthasarathy, R. Ranga Rao & V. S. Varadarajan], "Representations of complex semisimple Lie groups and Lie algebras," Ann. of Math. (2) 85 (1967), 383-429.
  107. [I. Piatetski-Shapiro], "On the Saito-Kurokawa lifting," Invent. Math. 71 (1983), 309-338.
  108. [D. Prasad & D. Ramakrishnan], "Symplectic Root Numbers of Two-Dimensional Galois Representations: An Interpretation," preprint.
  109. [D. Prasad], "Weil Representation, Howe Duality, and the Theta Correspondence," 1993.
  110. [S. B. Priddy], "Koszul Resolutions," Trans. Amer. Math. Soc. 152 (November 1970).
  111. [T. Przebinda], "Characters, Dual Pairs and Unipotent Representations," J. Funct. Anal. 98 (1991), 59-96.
  112. [T. Przebinda], "On Howe's Duality Theorem," J. Funct. Anal. 81 (1988), 160-183.
  113. [T. Przebinda], "The Oscillator Duality Correspondence for the Pair O(2; 2), Sp(2; R)," Mem. Amer. Math. Soc. 79 (1989).
  114. [T. Przebinda], "The Duality Correspondence of Infinitesimal Characters," preprint .
  115. [S. Rallis], "Langlands' Functoriality and the Weil Representation," Amer. J. Math. 104 (1980), 469-515.
  116. [S. Rallis], "Injectivity properties of liftings associated to Weil representations," Compositio Math. 52 (1984), 136-169.
  117. [S. Rallis], L-functions and the oscillator representation, Lecture Notes in Math #1245, Springer-Verlag, New York, 1987.
  118. [S. Rallis & B. Schiffman], "Representations supercuspidales du groupe metaplectique," J. Math. Kyoto Univ. 17 (1977), 567-603.
  119. [R. Ranga Rao], "On some explicit formulas in the theory of the Weil representation," Pacific J. Math. 157 (1993), 335-371.
  120. [J. Repka], "Tensor Products of Holomorphic Discrete Series," Canad. J. Math. 31XXXI, no. 4 (1979), 836-844..
  121. [M. Saito], "Representations unitaires des groupes symplectiques," Math. Soc. Japan 24 (1972), 232-251.
  122. [R. Scaramuzzi], "A notion of rank for unitary representations of general linear groups," Trans. Amer. Math. Soc. 319 (1990), 349-380.
  123. [W. Schmid], "On the Characters of the Discrete Series," Invent. Math. 30 (1975), 47-144.
  124. [J .P. Serre], A course in arithmetic, springer-Verlag, New York, 1973.
  125. [D. Shale], "Linear symmetries of free boson fields," Trans. Amer. Math. Soc. 103 (1962), 149-167.
  126. [J. Shalika], Representations of the two by two unimodular group over local fields, Institute for Advanced Study, 1966.
  127. [J. Shalika & S. Tannaka], "On an explicit construction of a certain class of automorphic forms," Amer. J. Math. 91 (1969), 1049-1076.
  128. [D. Shelstad], "L-Indistinguishability for Real Groups," Math. Ann. 259 (1982), 385-430 .
  129. [D. Shelstad], "Orbital Integrals and a Family of Groups attached to a Real Reductive Group," Ann. Ecole Nat. Sup. Mec. Nantes 12 (1979), 1-31.
  130. [D. Shelstad], "Embeddings of L-Groups," Canad. J. Math. 33 (1981), 513-558.
  131. [D. Shelstad], "Characters and Inner Forms of a Quasisplit Group over ," Compositio Math. 39 (1979).
  132. [W. Soergel], "Langland's Philosophy and Koszul Duality," preprint .
  133. [N. Spaltenstein], Classes Unipotentes et Sous-Groupes de Borel, Springer Lecture Notes #946, Springer- Verlag, New York, 1982.
  134. [B. Speh & D. Vogan], "Reducibility of Generalized Principal Series Representations," Acta Math. 145 (1980), 227-299.
  135. [T.A. Springer, R. Steinberg], "Conjugacy Classes," in Seminar on algebraic groups and related finite groups, A. Borel, ed., Springer Lecture Notes #131, Springer-Verlag, New York, 1970, 167-266.
  136. [R. Steinberg], "Regular Elements of Semisimple Algebraic Groups," Publ. I.H.E.S. (1965).
  137. [S. Sternberg], "Some Recent Results on The Metaplectic Representation ," in Group Theoretical Methods in Physics, P.Kramer & A.Rieckers, eds., Springer Lecture Notes in Physics #79, 117-143 .
  138. [R. Strichartz], "Harmonic Analysis on Hyperboloids," J. Funct. Anal. 12 (1973), 341-383.
  139. [J. Tate], "Number Theoretic Background," in Automorphic Forms, Representations and L-Functions (part 1), A. Borel & W. Casselman, eds., Proc. Symp. Pure Math. #33, American Math. Soc., Providence, RI, 1979, 275-286.
  140. [H. Tilgner], "Graded generalizations of Weyl and Clifford algebras," J. Pure Appl. Algebra 10 (1977), 163-168.
  141. [P. Torasso], "Sur le caractere de la representation de Shale-Weil de Mp(n; R) et Sp(n; C)," Math. Ann. 252 (1980), 53-86.
  142. [D. Vogan, J. Adams]
  143. [D. Vogan], "Local Langlands Conjecture," in Representations of Groups and Algebras.
  144. [D. Vogan], Representations of Real Reductive Lie Groups, Birkhäuser, Boston, 1981.
  145. [D. Vogan], Unitary Representations of Reductive Lie Groups, Princeton University Press, Princeton, 1987.
  146. [D. Vogan], "The Unitary Dual of GL(n) Over an Archimedean Field," Invent. Math. 83 (1986), 449-505.
  147. [D. Vogan], "Irreducible Characters of Semisimple Lie Groups I," Duke Math. J. 46 (1979), 61-108.
  148. [D. Vogan], "Irreducible Characters of Semisimple Lie Groups II: The Kazhdan-Lusztig Conjectures," Duke Math. J. 46 (1979), 805-859.
  149. [D. Vogan], "Irreducible Characters of Semisimple Lie Groups III: The Kazhdan-Lusztig Conjectures ," Invent. Math. 71 (1983 ), 381-417.
  150. [D. Vogan], "Unitarizability of Certain Series of Representations," Ann. of Math. (2) 120 (1984), 141-187.
  151. [D. Vogan], "Irreducible Characters of Semisimple Lie Groups IV. Character- Multiplicity Duality," Duke Math. J. 49, No. 4 (1982), 943-1073.
  152. [D. Vogan & G. sZuckerman], "Unitary Representations with Non-Zero Cohomology," Compositio Math. 53 (1984), 51-90.
  153. [D. Vogan], "Singular Unitary Representations," in Non-commutative harmonic analysis and Lie groups, J. Carmona & M. Vergne, eds., Lecture notes in mathematics #880, 1981, 506-535.
  154. [D. Vogan], "The Unitary Dual of G2," Invent. Math. 116 P 677-791 (1994).
  155. [J. Waldspurger], "Demonstration d'une conjecture de dualite de Howe dans le cas p- adique, p 6= 2," in Festschrift in honor of I. Piatetski-Shapiro, 1990.
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  158. [N. Wallach], "The Analytic Continutation of the Discrete Series I," Trans. Amer. Math. Soc. 251 (July, 1979), 1-17.
  159. [N. Wallach], Real Reductive Groups, Academic Press, Boston, 1992.
  160. [N. Wallach], "The Analytic Continutation of the Discrete Series II," Trans. Amer. Math. Soc. 251 (July, 1979), 19-37.
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  162. [A. Weil], "Sur Certains Groups d'operateurs Unitaires," Acta Math. 111 (1964), 143-211.
  163. [H. Weyl], The Classical Groups, Their Invariants and Representations, Princeton University Press, Prince- ton, 1946.
  164. [J. A. Wolf], "Unitary representations on partially holomorphic cohomology spaces," Mem. Amer. Math. Soc. 138 (1974).
  165. [D. P. Zhelobenko], "Operational calculus on a complex semisimple Lie group," Math USSR, Izvestia 3 (1969), 881-915.
  166. [D. P. Zhelobenko], Analyse harmonique sur les groupes semi-simples complexes, Nauka, Moscow, 1974.
  167. [C.-B. Zhu], "Two topics in harmonic analysis on reductive groups," Yale University thesis, 1990.
  168. [G. Zuckerman], "Tensor Products of Finite and Infinite Dimensional Representations of Semisimple Lie Groups," Ann. of Math. (2) (1977).