Contravariant forms and extremal projectors

JOURNAL OF PURE AND APPLIED ALGEBRA

卷:226

Article

Mudrov, Andrey¹ 

[1] Univ Leicester, Dept Math, Univ Rd, Leicester LE1 7RH, Leics, England

关键词: Highest weight modules;    Tensor product;    Complete reducibility;    Contravariant form;    Extremal projector;   

DOI  :  10.1016/j.jpaa.2021.106902

来源: Elsevier

【 摘 要 】

Tensor product of irreducible modules of highest weight over a semi-simple quantum group is completely reducible if and only if a natural contravariant form is non-degenerate when restricted to the span of singular vectors. We express this restriction through the extremal projector of the quantum group providing a computationally feasible criterion for complete reducibility of tensor products. Crown Copyright (c) 2021 Published by Elsevier B.V. All rights reserved.

【 授权许可】

Free