A duality theorem for weak multiplier Hopf algebra actions
نویسندگان
چکیده
منابع مشابه
Gorenstein global dimensions for Hopf algebra actions
Let $H$ be a Hopf algebra and $A$ an $H$-bimodule algebra. In this paper, we investigate Gorenstein global dimensions for Hopf algebras and twisted smash product algebras $Astar H$. Results from the literature are generalized.
متن کاملgorenstein global dimensions for hopf algebra actions
let $h$ be a hopf algebra and $a$ an $h$-bimodule algebra. in this paper, we investigate gorenstein global dimensions for hopf algebras and twisted smash product algebras $astar h$. results from the literature are generalized.
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The definition of stabilizer and orbit for Hopf algebra action is given, and a duality theorem on stabilizer is proved.
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We show that, under some mild conditions, a bialgebra in an abelian and coabelian braided monoidal category has a weak projection onto a formally smooth (as a coalgebra) sub-bialgebra with antipode; see Theorem 1.12. In the second part of the paper we prove that bialgebras with weak projections are cross product bialgebras; see Theorem 2.12. In the particular case when the bialgebra A is cocomm...
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We prove the quasi-Hopf algebra version of the Nichols-Zoeller theorem: A finite-dimensional quasi-Hopf algebra is free over any quasi-Hopf subalgebra.
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ژورنال
عنوان ژورنال: International Journal of Mathematics
سال: 2017
ISSN: 0129-167X,1793-6519
DOI: 10.1142/s0129167x1750032x