satake isomorphism
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2014 ◽  
Vol 21 (3) ◽  
pp. 727-761 ◽  
Author(s):  
Rachel Ollivier


2010 ◽  
Vol 147 (1) ◽  
pp. 263-283 ◽  
Author(s):  
Florian Herzig

AbstractSuppose that G is a connected reductive group over a p-adic field F, that K is a hyperspecial maximal compact subgroup of G(F), and that V is an irreducible representation of K over the algebraic closure of the residue field of F. We establish an analogue of the Satake isomorphism for the Hecke algebra of compactly supported,K-biequivariant functions f:G(F)→End   V. These Hecke algebras were first considered by Barthel and Livné for GL 2. They play a role in the recent mod p andp-adic Langlands correspondences for GL 2 (ℚp) , in generalisations of Serre’s conjecture on the modularity of mod p Galois representations, and in the classification of irreducible mod p representations of unramified p-adic reductive groups.



2010 ◽  
Vol 14 (07) ◽  
pp. 264-284 ◽  
Author(s):  
Thomas J. Haines ◽  
Sean Rostami


2000 ◽  
Vol 101 (2) ◽  
pp. 153-166 ◽  
Author(s):  
Michael Rapoport






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