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

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

2006-03-15

arxiv.org/abs/math/0603384v2

Mathematics

Quantum Algebra

8 pages

Scientific paper

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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