Ann. Math. Blaise Pascal 20 no. 2 (2013), 175-191 - arXiv:1302.1769

Christian Kassel

Examples of polynomial identities distinguishing the Galois objects over finite-dimensional Hopf algebras

Mathematics Subject Classification (2010): 16R50, 16T05, 16T15

Abstract. We define polynomial H-identities for comodule algebras over a Hopf algebra H and establish general properties for the corresponding T-ideals. In the case H is a Taft algebra or the Hopf algebra E(n), we exhibit a finite set of polynomial H-identities which distinguish the Galois objects over H up to isomorphism.

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(12 décembre 2013)