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On a family of Hopf algebras of dimension 72

By N. Andruskiewitsch and C. Vay

Abstract

We investigate a family of Hopf algebras of dimension 72 whose coradical is isomorphic to the algebra of functions on S_3. We determine the lattice of submodules of the so-called Verma modules and as a consequence we classify all simple modules. We show that these Hopf algebras are unimodular (as well as their duals) but not quasitriangular; also, they are cocycle deformations of each other.Comment: 26 page

Topics: Mathematics - Quantum Algebra, 16W30
Year: 2011
OAI identifier: oai:arXiv.org:1105.0394
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