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15 March 2015 The Brundan–Kazhdan–Lusztig conjecture for general linear Lie superalgebras
Shun-Jen Cheng, Ngau Lam, Weiqiang Wang
Duke Math. J. 164(4): 617-695 (15 March 2015). DOI: 10.1215/00127094-2881265

Abstract

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.

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Shun-Jen Cheng. Ngau Lam. Weiqiang Wang. "The Brundan–Kazhdan–Lusztig conjecture for general linear Lie superalgebras." Duke Math. J. 164 (4) 617 - 695, 15 March 2015. https://doi.org/10.1215/00127094-2881265

Information

Published: 15 March 2015
First available in Project Euclid: 16 March 2015

zbMATH: 06434638
MathSciNet: MR3322307
Digital Object Identifier: 10.1215/00127094-2881265

Subjects:
Primary: 17B10

Keywords: differential operators , free field realization , Howe duality , Lie superalgebra

Rights: Copyright © 2015 Duke University Press

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Vol.164 • No. 4 • 15 March 2015
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