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arXiv · 2008.02235

Gelfand's trick for the spherical derived Hecke algebra

Lennart Gehrmann
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Abstract

Gelfand's trick shows that the spherical Hecke algebra of a $p$-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.

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Lennart Gehrmann. 2020-08-05. Gelfand's trick for the spherical derived Hecke algebra. https://doi.org/10.1093/imrn%2Frnab130

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