THE BRUNDAN-KAZHDAN-LUSZTIG CONJECTURE FOR GENERAL LINEAR LIE SUPERALGEBRAS

被引：38

作者：

Cheng, Shun-Jen ^{[1
]}

Lam, Ngau ^{[2
]}

Wang, Weiqiang ^{[3
]}

机构：

[1] Acad Sinica, Inst Math, Taipei, Taiwan

[2] Natl Cheng Kung Univ, Dept Math, Tainan 70101, Taiwan

[3] Univ Virginia, Dept Math, Charlottesville, VA 22903 USA

来源：

DUKE MATHEMATICAL JOURNAL | 2015年 / 164卷 / 04期

基金：

美国国家科学基金会;

关键词：

CHARACTER FORMULAS; TILTING MODULES; SUPER DUALITY; POLYNOMIALS;

D O I：

10.1215/00127094-2881265

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the framework of canonical and dual canonical bases of Fock spaces, Brundan in 2003 formulated a Kazhdan-Lusztig-type conjecture for the characters of the irreducible and tilting modules in the Bernstein-Gelfand-Gelfand category for the general linear Lie superalgebra for the first time. In this paper, we prove Brundan's conjecture and its variants associated to all Borel subalgebras in full generality.

引用

页码：617 / 695

页数：79

共 36 条

[1]

[Anonymous], 2006, REPRESENT THEOR

[2]

[Anonymous], 1997, Represent. Theory

[3]

[Anonymous], 1990, J. Amer. Math. Soc, DOI DOI 10.2307/1990961

[4]

[Anonymous], 1978, Lect. Notes Math.