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.
|State||Published - 24 Sep 2017|
|Name||Arxiv Math. RT|
- Mathematics - Representation Theory