A short proof of Hironaka's Theorem on freeness of some Hecke modules

Avraham Aizenbud, Eitan Sayag

Research output: Working paper/PreprintPreprint

Abstract

Let E/F be an unramified extension of non-archimedean local fields of residual characteristic different than 2. We provide a simple geometric proof of a variation of a result of Hironaka ([Hir99]). Namely we prove that the module S(X)K0 is free over the Hecke algebra H(SLn(E), SLn(OE)), where X is the space of unimodular Hermitian forms on En and OE is the ring of integers in E.
Original languageEnglish
PublisherarXiv:1709.08214 [math.RT]
StatePublished - 24 Sep 2017

Publication series

NameArxiv Math. RT

Keywords

  • Mathematics - Representation Theory

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