Daijiro Fukuda
Abstract
This paper contributes to the classification of finite dimensional Hopf algebras. It is shown that every Hopf algebra of dimension 30 over an algebraically closed field of characteristic zero is semisimple and thus isomorphic to a group algebra or the dual of a group algebra.
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This paper contributes to the classification of finite dimensional Hopf algebras. It is shown that every Hopf algebra of dimension 30 over an algebraically closed field of characteristic zero is semisimple and thus isomorphic to a group algebra or the dual of a group algebra.
Key concepts: Mathematics, Hopf algebra, Quasitriangular Hopf algebra, Algebraically closed field, Representation theory of Hopf algebras, Dimension (graph theory), Quantum group, Pure mathematics