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

63   0   0.0 ( 0 )
 Added by Mat\\'ias Gra\\~na
 Publication date 2006
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and research's language is English




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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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