The Koszul Complex and a Certain Induced Module for a Quantum group

被引：0
|
作者：
Tanisaki, Toshiyuki [1 ]
机构：
[1] 9-3-12 Jiyugaoka, Munakata, Fukuoka 8114163, Japan
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2024年 / 2024卷 / 11期
关键词：
QUANTIZED FLAG MANIFOLDS; LIE-ALGEBRAS; REPRESENTATIONS; ROOTS; LOCALIZATION; COHOMOLOGY;
D O I：
10.1093/imrn/rnae043
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a description of a certain induced module for a quantum group of type $A$. Together with our previous results this gives a proof of Lusztig's conjectural multiplicity formula for non-restricted modules over the De Concini-Kac type quantized enveloping algebra of type A(n) at the l-th root of unity, where l is an odd integer satisfying (l, n + 1) = 1and l > n + 1.
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页码：9376 / 9410
页数：35
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