Weight modules for current algebras

JOURNAL OF ALGEBRA

卷:440

Article

Britten, Daniel¹  Lau, Michael²  Lemire, Frank¹ 

[1] Univ Windsor, Dept Math & Stat, Windsor, ON N9B 0A6, Canada

[2] Univ Laval, Dept Math & Stat, Quebec City, PQ G1V 0A6, Canada

关键词: Weight modules;    Current algebras;    Admissible representations;    Infinite-dimensional Lie algebras;   

DOI  :  10.1016/j.jalgebra.2015.05.025

来源: Elsevier

【 摘 要 】

For any finite-dimensional simple Lie algebra g and finitely generated commutative associative algebra S, we give a complete classification of the simple weight modules of g S with bounded weight multiplicities. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

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