Complete reducibility theorems for modules over pointed Hopf algebras

Details Complete reducibility theorems for modules over pointed Hopf algebras Complete reducibility theorems for modules over pointed Hopf algebras

2010-01-22

arxiv.org/abs/1001.3977v2

J. Algebra 324 (2010), pp. 2932-2970

Mathematics

Quantum Algebra

44 pages

Scientific paper

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.

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