Structure of parabolically induced modules for affine Kac-Moody algebras

JOURNAL OF ALGEBRA

卷:500

Article; Proceedings Paper

Futorny, Vyacheslav¹  Kashuba, Iryna¹ 

[1] Univ Sao Paulo, Inst Math, Caixa Postal 66281, BR-05314970 Sao Paulo, Brazil

关键词: Affine Lie algebra;    Weight module;    Induced module;    Parabolic subalgebra;   

DOI  :  10.1016/j.jalgebra.2017.03.007

来源: Elsevier

【 摘 要 】

The main result of the paper establishes the irreducibility of a large family of nonzero central charge induced modules over Affine Lie algebras for any non standard parabolic subalgebra. It generalizes all previously known partial results and provides a construction of many new irreducible modules. (C) 2017 Published by Elsevier Inc.

【 授权许可】

Free