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On Normal Hopf Subalgebras of Semisimple Hopf Algebras

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Abstract

A criterion for subcoalgebras to be invariant under the adjoint action is given generalizing Masuoka’s criterion for normal Hopf subalgebras. At the level of characters, the image of the induction functor from a normal Hopf subalgebra is isomorphic to the image of the restriction functor.

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Authors and Affiliations

  1. Inst. of Math. “Simion Stoilow” of the Romanian Academy, P.O. Box 1-764, 014700, Bucharest, Romania

    Sebastian Burciu

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  1. Sebastian Burciu
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Correspondence to Sebastian Burciu.

Additional information

Research partially supported by PN-II-RU-PD-2009 CNCSIS grant 14/28.07.2010.

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Burciu, S. On Normal Hopf Subalgebras of Semisimple Hopf Algebras. Algebr Represent Theor 15, 491–506 (2012). https://doi.org/10.1007/s10468-010-9252-4

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  • DOI: https://doi.org/10.1007/s10468-010-9252-4

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