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math.RTJul 22, 2011
7
citations (OpenAlex)
authors
  • Dmitry Gourevitch
  • Omer OFfen
  • Siddhartha Sahi
  • Eitan Sayag
institutions
  • Ben-Gurion University of the Negev
  • Rutgers, The State University of New Jersey
  • Technion – Israel Institute of Technology
  • Weizmann Institute of Science
arXiv abstractPDF
paper

Existence of Klyachko Models for GL(n;R) and GL(n;C)

arXiv:1107.4621 · doi:10.1016/j.jfa.2012.01.023

Abstract

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.

References in corpus (5)

  • (GL(n+1,F),GL(n,F)) is a Gelfand pair for any local field F
  • Annihilator varieties, highest derivatives, Whittaker functionals, and rank for unitary representations of GL(n,R)
  • Invariant distributions on non-distinguished nilpotent orbits with application to the Gelfand property of (GL(2n,R),Sp(2n,R))
  • (GL(2n,C),SP(2n,C)) is a Gelfand Pair
  • On Unitary Representations of GL2n Distinguished by the Symplectic Group

Cited by in corpus (5)

  • Cohomologically induced distinguished representations and cohomological test vectors
  • Annihilator varieties, highest derivatives, Whittaker functionals, and rank for unitary representations of GL(n,R)
  • Annihilator varieties of distinguished modules of reductive Lie algebras
  • Invariant Functionals on the Speh representation
  • Models of representations and Langlands functoriality
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