Quantum group of type A and representations of queer Lie superalgebra

Chih Whi Chen, Shun Jen Cheng

研究成果: 雜誌貢獻期刊論文同行評審

2 引文 斯高帕斯(Scopus)

摘要

We establish a maximal parabolic version of the Kazhdan–Lusztig conjecture [10, Conjecture 5.10] for the BGG category Ok,ζ of q(n)-modules of “±ζ-weights”, where k≤n and ζ∈C∖Z. As a consequence, the irreducible characters of these q(n)-modules in this maximal parabolic category are given by the Kazhdan–Lusztig polynomials of type A Lie algebras. As an application, closed character formulas for a class of q(n)-modules resembling polynomial and Kostant modules of the general linear Lie superalgebras are obtained.

原文???core.languages.en_GB???
頁(從 - 到)1-28
頁數28
期刊Journal of Algebra
473
DOIs
出版狀態已出版 - 1 3月 2017

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