Degenerate Whittaker functionals for real reductive groups

Dmitry Gourevitch; Siddhartha Sahi

doi:https://doi.org/10.1353/ajm.2015.0008

Degenerate Whittaker functionals for real reductive groups

Dmitry Gourevitch, Siddhartha Sahi

Department of Mathematics

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we establish a connection between the associated variety of a representation and the existence of certain degenerate Whittaker functionals, for both smooth and K-finite vectors, for all quasi-split real reductive groups, thereby generalizing results of Kostant, Matumoto and others.

Original language	English
Pages (from-to)	439-472
Number of pages	34
Journal	American Journal of Mathematics
Volume	137
Issue number	2
DOIs	https://doi.org/10.1353/ajm.2015.0008
State	Published - 2015

All Science Journal Classification (ASJC) codes

General Mathematics

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https://doi.org/10.1353/ajm.2015.0008

http://arxiv.org/abs/1210.4064License: Unspecified

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title = "Degenerate Whittaker functionals for real reductive groups",

abstract = "In this paper we establish a connection between the associated variety of a representation and the existence of certain degenerate Whittaker functionals, for both smooth and K-finite vectors, for all quasi-split real reductive groups, thereby generalizing results of Kostant, Matumoto and others.",

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JO - American Journal of Mathematics

JF - American Journal of Mathematics

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Degenerate Whittaker functionals for real reductive groups

Abstract

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