Unitary Shimura Correspondence for split Real Groups, joint with D. Barbasch, A. Paul, P. Trapa and D. A. Vogan Jr, Journal of the AMS 20, no. 3, (2007), 701-751

Discrete Series and Characters of the Component Group (dvi/pdf)

Vogan Duality for Non--Linear Group: Simply Laced Case (joint with Peter Trapa) (dvi/pdf)

Lifting of Characters for Non-Linear Simply Laced Groups (joint with Rebecca Herb) (dvi/pdf)

Non-Linear Covers of Real Groups (dvi/pdf)

Characters of Covering Groups of SL(n) (postscript/dvi/pdf)

Theta 10, from the conference in honor of Joe Shalika, Baltimore, MD, May 14--17, 2002.

Signature of Symmetric Rational Matrices and the Unitary Dual of Lie Groups, joint with David Saunders and Zhendong Wan

Character Theory (slides of invited address at Penn State AMS meeting, October, 1998): (postscript/dvi/pdf)

Extensions of Tori in SL(2), Pacific Journal of Mathematics, Vol. 200, No. 2, 2001, pp. 257--271 (dvi/pdf)
Some notes on cocycles:

Comparison with the Kubota splitting

Pullback of the cocycle to E^*

A note on the splitting of Murase and Sugano

Character of Non-Linear Groups (notes of a talk at the national AMS meeting, Baltimore, January 1998): (postscript/dvi/pdf)

Characters of Non-Linear Groups (notes of a talk at the Hayashibara Forum, Osaka, July 27-31, 1997) (postscript/dvi/pdf)

Genuine Representations of the Metaplectic Group (joint with Dan Barbasch) (dvi)

Lifting of Characters on Orthogonal and Metaplectic Groups(dvi)

Kazhdan Patterson Lifting for GL(n,R) (joint with Jing-Song Huang)(dvi)

Character of the Oscillator Representation(dvi)

Duality for the Spin Representation(dvi)

Lifting of Characters on Orthogonal and Metaplectic Groups - notes from a talk at AMS meeting, Boston, October 7-8, 1995(dvi)

Here is Jason Schultz's 1998 thesis (dvi/pdf) on "Lifting of Characters on SL(2,F)^~ and SO_1,2(F) for F a non-archimedean local field".

The Theta Correspondence and Automorphic Forms

• The Theta-Correspondence over R. (Notes by J. Adams). These notes were updated April 2007 for inclusion in the volume in honor of Roger Howe, edited by Chengbo Zhu. Here are the original notes (pdf format).
• The Weil Representation and Dual Pairs (Notes by B. Roberts)(dvi)
• The Theta Correspondence and Witt Towers (Notes by B. Roberts)(dvi)
• Nonarchimedian examples (Notes by B. Roberts)(dvi)