类型A$ A$ Hecke代数的野块是严格的野块

IF 0.9 3区数学 Q2 MATHEMATICS

Bulletin of the London Mathematical Society Pub Date : 2025-06-15 DOI:10.1112/blms.70115

Liron Speyer

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引用次数: 0

摘要

我们证明A型的所有野生块$A$具有量子特征e大于或等于3 $e \geqslant 3$的Hecke代数-即重量至少为2 -的块是严格野生的，可能除了权重2 Rouquier块为e = 3 $e = 3$。作为推论，我们表明对于e小于3 $e \geqslant 3$, q $q$ -Schur代数的所有野生块都是严格野生的，没有例外。

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Wild blocks of type

A
$A$
Hecke algebras are strictly wild

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

We prove that all wild blocks of type $A$ Hecke algebras with quantum characteristic $e ⩾ 3$ — that is, blocks of weight at least 2 — are strictly wild, with the possible exception of the weight 2 Rouquier block for $e = 3$ . As a corollary, we show that for $e ⩾ 3$ , all wild blocks of the $q$ -Schur algebras are strictly wild, without exception.