球面导出Hecke代数的Gelfand技巧
Gelfand's trick for the spherical derived Hecke algebra
摘要:
Gelfand技巧证明了$p$ -adic分裂约化群的球面Hecke代数是交换的.我们采用这种策略,以证明球导出Hecke代数是分次交换的系数环在温和的假设下。
英文摘要:
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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