Complete reducibility theorems for modules over pointed Hopf algebras

JOURNAL OF ALGEBRA

卷:324

Article

Andruskiewitsch, Nicolas¹  Radford, David²  Schneider, Hans-Juergen³ 

[1] Univ Nacl Cordoba, Fac Matemat Astron & Fis, CIEM CONICET, RA-5000 Cordoba, Argentina

[2] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60607 USA

[3] Univ Munich, Math Inst, D-80333 Munich, Germany

关键词: Quantum groups;    Pointed Hopf algebras;    Complete reducibility;   

DOI  :  10.1016/j.jalgebra.2010.06.002

来源: Elsevier

【 摘 要 】

We investigate the representation theory of a large class of pointed Hopf algebras, extending results of Lusztig and others. We classify all simple modules in a suitable category and determine the weight multiplicities; we establish a complete reducibility theorem in this category. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free