Type A blocks of super category O

JOURNAL OF ALGEBRA

卷:473

Article

关键词: Lie superalgebras;    Category O;   

DOI  :  10.1016/j.jalgebra.2016.11.022

来源: Elsevier

【 摘 要 】

We show that every block of category O for the general linear Lie superalgebra gl(m vertical bar n) (k) is equivalent to some corresponding block of category O for the queer Lie superalgebra q(m+n) (k). This implies the truth of the Kazhdan-Lusztig conjecture for the so-called type A blocks of category O for the queer Lie superalgebra as formulated by Cheng, Kwon and Wang. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free