A$型Hecke代数的野块是严格野块

arXiv - MATH - Rings and Algebras Pub Date : 2024-08-29 DOI:arxiv-2408.16477

Liron Speyer

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摘要

我们证明，具有量子特性$e \geqslant 3$的$A$型Hecke代数方程的所有野块--即权重至少为2$的块--都是严格意义上的野块，但权重为2$的e = 3$的Rouquier块可能是个例外。

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Wild blocks of type $A$ Hecke algebras are strictly wild

We prove that all wild blocks of type $A$ Hecke algebras with quantum characteristic $e \geqslant 3$ -- i.e. blocks of weight at least $2$ -- are strictly wild, with the possible exception of the weight $2$ Rouquier block for $e = 3$.

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arXiv - MATH - Rings and Algebras

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