arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2607.10010math.RT

仿射赫克代数的权重与特征标

Weights and characters for affine Hecke algebras

Maximilien J. Mackie

AI总结:

研究仿射赫克代数单模分类中权重的作用,通过展示权重决定单模的程度来描述沿同构的诱导和限制,以及厄米对偶和酉性在此过程中的行为。

AI中文摘要:

权重在仿射赫克代数的单模分类中起着至关重要的作用。本文展示了权重决定单模的程度,并以此描述沿同构的诱导和限制。还描述了厄米对偶和酉性在沿同构的诱导和限制下的行为。

英文摘要:

Weights play an essential role in the classification of simple modules for affine Hecke algebras. In this paper we show the extent to which weights determine simple modules and use this to describe induction and restriction along isogenies. We also describe the behaviour of hermitian duals and unitarity under induction and restriction along isogenies.

补充信息

↑