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On Nakayama Automorphisms of Double Frobenius Algebras

✍ Scribed by M. Koppinen

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
152 KB
Volume
214
Category
Article
ISSN
0021-8693

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✦ Synopsis

Double Frobenius algebras or dF-algebras were recently introduced by the author. The concept generalizes finite-dimensional Hopf algebras, adjacency alge-Ε½ . Ε½ bras of non-commutative association schemes, and C-algebras or character . algebras . This paper studies basic properties of various Nakayama automorphisms in a dF-algebra. As an application the theorem of D. E. Radford, stating that the antipode S of a finite-dimensional Hopf algebra is of finite order, is generalized to dF-algebras, and so is his formula for S 4 n in terms of certain group-like elements.

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