English

Hopf algebras and polynomial identities

Quantum Algebra 2012-04-12 v1 Rings and Algebras

Abstract

This is a survey of results obtained jointly with E. Aljadeff and published in Adv. Math. 218 (2008), 1453-1495. We explain how to set up a theory of polynomial identities for comodule algebras over a Hopf algebra, and concentrate on the universal comodule algebra constructed from the identities satisfied by a given comodule algebra. All concepts are illustrated with various examples.

Keywords

Cite

@article{arxiv.1009.3180,
  title  = {Hopf algebras and polynomial identities},
  author = {Christian Kassel},
  journal= {arXiv preprint arXiv:1009.3180},
  year   = {2012}
}

Comments

14 pages; to appear in Proc. Conf. "Quantum Groups and Quantum Topology", RIMS, Kyoto University, April 2010