An approach to quasi-Hopf algebras via Frobenius coordinates

Details An approach to quasi-Hopf algebras via Frobenius coordinates An approach to quasi-Hopf algebras via Frobenius coordinates

2004-08-18

arxiv.org/abs/math/0408244v1

Mathematics

Quantum Algebra

revised edition of MPS 20040106

Scientific paper

We study quasi-Hopf algebras and their subobjects over certain commutative rings from the point of view of Frobenius algebras. We introduce a type of Radford formula involving an anti-automorphism and the Nakayama automorphism of a Frobenius algebra, then view several results in quantum algebras from this vantage-point. In addition, separability and strong separability of quasi-Hopf algebras are studied as Frobenius algebras.

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