论文标题

Gelfand的球形衍生的Hecke代数的技巧

Gelfand's trick for the spherical derived Hecke algebra

论文作者

Gehrmann, Lennart

论文摘要

Gelfand的技巧表明,$ p $ adiC分配还原组的球形Hecke代数是可交换的。我们适应了该策略,以表明球形衍生的Hecke代数在系数环上的轻度假设下是分级的。

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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