Depth One Extensions of Semisimple Algebras and Hopf Subalgebras

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作者
Sebastian Burciu
机构
[1] Institute of Mathematics “Simion Stoilow” of the Romanian Academy,
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Semisimple algebras; Hopf algebras; Depth one; Depth two; Normal Hopf subalgebras; 16T05; 16G10;
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摘要
Depth one extensions of finite dimensional semisimple algebras are completely characterized in terms of their algebra centers. For extensions of semisimple Hopf algebras this characterization translates into a trivial monoidal action of the dual fusion category Rep(A*) on Rep(B).
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页码:1577 / 1586
页数:9
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