arXiv:1203.0092 Abstract | arXiv Analytics

arXiv:1203.0092 [math.RT]Abstract References Reviews Resources

Brundan-Kazhdan-Lusztig conjecture for general linear Lie superalgebras

Published 2012-03-01, updated 2014-05-21Version 4

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 BGG 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.

Comments: 64 pages, Notes in the Introduction and Remark 3.14 added

Categories: math.RT, math.QA

Subjects: 17B10

Keywords: general linear lie superalgebra, brundan-kazhdan-lusztig conjecture, kazhdan-lusztig type conjecture, fock spaces, full generality

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