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Decomposition of some pointed Hopf algebras given by the canonical Nakayama automorphism

M. Graña·J. A. Guccione·J. J. Guccione
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Abstract

Every finite dimensional Hopf algebra is a Frobenius algebra, with Frobenius homomorphism given by an integral. The Nakayama automorphism determined by it yields a decomposition with degrees in a cyclic group. For a family of pointed Hopf algebras, we determine necessary and sufficient conditions for this decomposition to be strongly graded.

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BibTeXRIS

M. Graña, J. A. Guccione, J. J. Guccione. 2006-03-15. Decomposition of some pointed Hopf algebras given by the canonical Nakayama automorphism. https://arxiv.org/abs/math/0603384

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