Hopf algebras and polynomial identities

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.

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

References in corpus (2)

• Polynomial identities and noncommutative versal torsors
• Flatness and freeness properties of the generic Hopf Galois extensions

Cited by in corpus (1)

• Principal fiber bundles in non-commutative geometry