English

An approach to quasi-Hopf algebras via Frobenius coordinates

Quantum Algebra 2007-05-23 v1 Rings and Algebras

Abstract

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.

Keywords

Cite

@article{arxiv.math/0408244,
  title  = {An approach to quasi-Hopf algebras via Frobenius coordinates},
  author = {Lars Kadison},
  journal= {arXiv preprint arXiv:math/0408244},
  year   = {2007}
}

Comments

revised edition of MPS 20040106