English

Type A blocks of super category O

Representation Theory 2017-03-31 v2

Abstract

We show that every integral block of category O for the general linear Lie superalgebra is equivalent to a corresponding block of category O for the queer Lie superalgebra. 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.

Keywords

Cite

@article{arxiv.1606.05775,
  title  = {Type A blocks of super category O},
  author = {Jonathan Brundan and Nicholas Davidson},
  journal= {arXiv preprint arXiv:1606.05775},
  year   = {2017}
}

Comments

final version, 28 pages

R2 v1 2026-06-22T14:28:32.752Z