On BGG resolutions of unitary modules for quiver Hecke and Cherednik algebras

被引：0
|
作者：
C. Bowman
E. Norton
J. Simental
机构：
[1] University of York,Department of Mathematics
[2] University of Kent,School of Mathematics, Statistics and Actuarial Science
[3] Max-Planck-Institut für Mathematik,undefined
来源：
Selecta Mathematica | 2022年 / 28卷
关键词：
16S99; 20C20; 20C08; 14N20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We provide a homological construction of unitary simple modules of Cherednik and Hecke algebras of type A via BGG resolutions, solving a conjecture of Berkesch–Griffeth–Sam. We vastly generalize the conjecture and its solution to cyclotomic Cherednik and Hecke algebras over arbitrary ground fields, and calculate the Betti numbers and Castelnuovo–Mumford regularity of certain symmetric linear subspace arrangements.
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