Gelfand's trick for the spherical derived Hecke algebra
Number Theory
2021-05-31 v3
Abstract
Gelfand's trick shows that the spherical Hecke algebra of a -adic split reductive group is commutative. We adapt this strategy in order to show that the spherical derived Hecke algebra is graded-commutative under mild assumptions on the coefficient ring.
Cite
@article{arxiv.2008.02235,
title = {Gelfand's trick for the spherical derived Hecke algebra},
author = {Lennart Gehrmann},
journal= {arXiv preprint arXiv:2008.02235},
year = {2021}
}
Comments
expanded exposition, minor changes, to appear in Int. Math. Res. Not. IMRN