49 citations · 60 across the 3 of their papers we have counts for
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math.RT2008★ 11 cited
Generalized Harish-Chandra descent and applications to Gelfand pairs
Avraham Aizenbud, Dmitry Gourevitch, Eitan Sayag
In the first part of the paper we generalize a descent technique due to Harish-Chandra to the case of a reductive group acting on a smooth affine variety both defined over arbitrar…
math.RT2007★ 49 cited
(GL(n+1,F),GL(n,F)) is a Gelfand pair for any local field F
Avraham Aizenbud, Dmitry Gourevitch, Eitan Sayag
Let F be an arbitrary local field. Consider the standard embedding of GL(n,F) into GL(n+1,F) and the two-sided action of GL(n,F) \times GL(n,F) on GL(n+1,F). In this paper we show…