Research Interests of Ron Lipsman

Main Interests

Representation theory of Lie and algebraic groups, and Harmonic Analysis of homogeneous spaces. Within these broad categories, I am particularly interested in symmetric spaces, multiplicity theory, Plancherel formulae, and invariant differential operators on Lie groups and their homogeneous spaces.

Secondary Interests

I have done research on problems involving: solvability of differential operators, dynamics of group actions, classical harmonic analysis, representation theory and harmonic analysis of p-adic groups, and invariant theory.

Caveat

In fact, it has been some time since I did any new research in Lie Groups. But I am still fascinated by the subject and I continue to follow it with some interest.