李代数上抛物Springer层的外幂
表示论
2024-03-29 v2 代数几何
摘要
我们计算了一般线性李代数上关于加性卷积的、对应于类型(1, n–1)极大抛物子群的抛物Springer层的外幂。它们被证明同构于由Springer对应附加到对称群置换表示的外幂上的半单周层。
关键词
引用
@article{arxiv.2209.01603,
title = {Exterior powers of a parabolic Springer sheaf on a Lie algebra},
author = {Roman Bezrukavnikov and Kostiantyn Tolmachov},
journal= {arXiv preprint arXiv:2209.01603},
year = {2024}
}
备注
Content reorganised. Proofs for the Lie algebra statement significantly simplified. Material related to the convolution on the group was moved to the preprint "Linear structure on a finite Hecke category in type A" by the second author