Non-commutative, Non-cocommutative Semisimple Hopf Algebras arise from Finite Abelian Groups
نویسنده
چکیده
Given any nontrivial alternating tri-character f on a finite abelian group G, one can construct a finite dimensional non-commutative and non-cocommutative semisimple Hopf algebra H. The group of group-like elements of H is an abelian central extension of B by Ĝ where B is the radical of f .
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