On Semisimplicity of Jantzen Middles for the Periplectic Lie Superalgebra

被引：0

作者：

Chen, Chih-Whi ^{[1
]}

机构：

[1] Natl Cent Univ, Dept Math, Taoyuan 320317, Taiwan

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2022年

关键词：

KAZHDAN-LUSZTIG CONJECTURE; ENVELOPING ALGEBRA; PRIMITIVE-IDEALS; REPRESENTATIONS; CLASSIFICATION; FUNCTORS;

D O I：

10.1093/imrn/rnac01

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that an integral block of the category O of the periplectic Lie superalgebra contains a non-semisimple Jantzen middle if and only if it contains a simple module of atypical highest weight. As a consequence, every atypical integral block of O does not admit a Kazhdan-Lusztig theory in the sense of Cline, Parshall, and Scott.

引用

页数：25

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