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On the Classification of Strongly Graded Hopf Algebras

✍ Scribed by Antonio M. Cegarra

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 113 KB
Volume: 251
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.9125

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✦ Synopsis

The main result in this paper states that every strongly graded bialgebra whose component of grade 1 is a finite-dimensional Hopf algebra is itself a Hopf algebra. This fact is used to obtain a group cohomology classification of strongly graded Hopf algebras, with 1-component of finite dimension, from known results on strongly graded bialgebras.  2002 Elsevier Science (USA)

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