A note on Integral Satake isomorphisms

Abstract

We formulate a Satake isomorphism for the integral spherical Hecke algebra of an unramified $p$-adic group $G$ and generalize the formulation to give a description of the Hecke algebra $H_G(V)$ of weight $V$, where $V$ is a lattice in an irreducible algebraic representation of $G$.

A minor correction

References in corpus (2)

• On vector-valued twisted conjugate invariant functions on a group
• Perverse ${\mathbb{F}}_p$-sheaves on the affine Grassmannian

Cited by in corpus (3)

• Coherent sheaves on the stack of Langlands parameters
• Infinitesimal characters in arithmetic families
• Central elements in affine mod $p$ Hecke algebras via perverse ${\mathbb{F}}_p$-sheaves