Proceedings of the Conference "Quantum Groups and Quantum Topology", RIMS, Kyoto University, April 2010; RIMS Kôkyûroku 1714, 2010, 49-62; arXiv:1009.3180

Christian Kassel

Hopf algebras and polynomial identities

Mathematics Subject Classification (2000): 16R50, 16T05, 16T15, 16T20, 16S40, 16S85

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.

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(13 decémbre 2010)