Hopf algebras and polynomial identities

Details Hopf algebras and polynomial identities Hopf algebras and polynomial identities

2010-09-16

arxiv.org/abs/1009.3180v1

RIMS K\^oky\^uroku 1714 (2010), 49-62

Mathematics

Quantum Algebra

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

Scientific paper

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.

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