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2011•Communications in AlgebraOpen access

Finite Dimensional Hopf Algebras Over the Dual Group Algebra of the Symmetric Group in Three Letters

Nicolás Andruskiewitsch, Cristian Vay

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Abstract

We classify finite-dimensional Hopf algebras whose coradical is isomorphic to the algebra of functions on đť•Š3. We describe a new infinite family of Hopf algebras of dimension 72.

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We classify finite-dimensional Hopf algebras whose coradical is isomorphic to the algebra of functions on đť•Š3. We describe a new infinite family of Hopf algebras of dimension 72.

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Available abstract

We classify finite-dimensional Hopf algebras whose coradical is isomorphic to the algebra of functions on đť•Š3. We describe a new infinite family of Hopf algebras of dimension 72.

Key concepts: Hopf algebra, Mathematics, Representation theory of Hopf algebras, Quantum group, Dimension (graph theory), Quasitriangular Hopf algebra, Group (periodic table), Pure mathematics

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