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math.RT2011★ 19 cited
Derivatives for smooth representations of GL(n,R) and GL(n,C)
Avraham Aizenbud, Dmitry Gourevitch, Siddhartha Sahi
The notion of derivatives for smooth representations of GL(n) in the p-adic case was defined by J. Bernstein and A. Zelevinsky. In the archimedean case, an analog of the highest de…
math.RT2011★ 7 cited
Existence of Klyachko Models for GL(n;R) and GL(n;C)
Dmitry Gourevitch, Omer OFfen, Siddhartha Sahi +1
We prove that any unitary representation of GL(n;R) and GL(n;C) admits an equivariant linear form with respect to one of the subgroups considered by Klyachko.
math.RT2011★ 15 cited
Annihilator varieties, highest derivatives, Whittaker functionals, and rank for unitary representations of GL(n,R)
Dmitry Gourevitch, Siddhartha Sahi
In this paper we study irreducible unitary representations of GL(n,R) and prove a number of results. Our first result establishes a precise connection between the annihilator of a…