Complete reducibility theorems for modules over pointed Hopf algebras
journal contribution
posted on 2012-08-21, 00:00 authored by N. Andruskiewitsch, D. Radford, H.J. SchneiderWe 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.
Funding
NSA Grant H 98230-06-1-10015, CONICET, ANPCyT, Mincyt (C´ordoba), and Secyt (UNC)
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Publisher Statement
NOTICE: this is the author’s version of a work that was accepted for publication in Journal of Algebra. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Algebra, Vol 324, Issue 11, December 2010. DOI: 10.1016/j.jalgebra.2010.06.002 The original publication is available at www.elsevier.com.Publisher
ElsevierLanguage
- en_US
issn
0021-8693Issue date
2010-12-01Usage metrics
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