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On group theoretical Hopf algebras and exact factorizations of finite groups

โœ Scribed by Sonia Natale

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
202 KB
Volume
270
Category
Article
ISSN
0021-8693

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Some finiteness conditions for infinite dimensional coalgebras, particularly right or left semiperfect coalgebras, or co-Frobenius Hopf algebras are studied. As well, examples of co-Frobenius Hopf algebras are constructed via a Hopf algebra structure on an Ore extension of a group algebra, and it is

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Let A A be a Hopf algebra and โŒซ be a bicovariant first order differential calculus over A A. It is known that there are three possibilities to construct a differential Hopf algebra โŒซ n s โŒซ m rJ that contains โŒซ as its first order part. Corresponding to the three choices of the ideal J, we distinguish