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ON SATAKE PARAMETERS FOR REPRESENTATIONS WITH PARAHORIC FIXED VECTORS
SATAKE PARAMETERS PARAHORIC
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2015/9/29
This article, a continuation of [HRo], constructs the Satake parameter for any
irreducible smooth J-spherical representation of a p-adic group, where J is any parahoric
subgroup. This parametrizes s...
THE SATAKE ISOMORPHISM FOR SPECIAL MAXIMAL PARAHORIC HECKE ALGEBRAS
PARAHORIC HECKE Algebra
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2015/9/29
Let G denote a connected reductive group over a nonarchimedean
local field F. Let K denote a special maximal parahoric subgroup of G(F). We
establish a Satake isomorphism for the Hecke algebra...
THE BASE CHANGE FUNDAMENTAL LEMMA FOR CENTRAL ELEMENTS IN PARAHORIC HECKE ALGEBRAS
PARAHORIC HECKE Algebra
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2015/9/29
Let G be an unramified group over a p-adic field F, and let E/F be a finite
unramified extension field. Let θ denote a generator of Gal(E/F). This paper concerns the
ma...