TY - JOUR
T1 - The brundan-kazhdan-lusztig conjecture for general linear lie superalgebras
AU - Cheng, Shun Jen
AU - Lam, Ngau
AU - Wang, Weiqiang
N1 - Publisher Copyright:
© 2015.
PY - 2015
Y1 - 2015
N2 - 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.
AB - 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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U2 - 10.1215/00127094-2881265
DO - 10.1215/00127094-2881265
M3 - Article
AN - SCOPUS:84924953513
SN - 0012-7094
VL - 164
SP - 617
EP - 695
JO - Duke Mathematical Journal
JF - Duke Mathematical Journal
IS - 4
ER -