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Splitting Comodules over Hopf Algebras and Application to Representation Theory of Quantum Groups of Type A0|0

✍ Scribed by Phùng Hô Hai

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 156 KB
Volume: 245
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.8841

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✦ Synopsis

In this work we study some properties of comodules over Hopf algebras possessing integrals (co-Frobenius Hopf algebras). In particular we give a necessary and sufficient condition for a simple comodule to be injective. We apply the result obtained to the classification of representations of quantum groups of type A 0 0 .