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Communications in Algebra

Volume 38, Issue 3, 2010

Freeness of Quasi-Hopf Algebras Over Right Coideal Subalgebras

Freeness of Quasi-Hopf Algebras Over Right Coideal Subalgebras

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DOI:
10.1080/00927870902828645
Hannah Henkera*

pages 876-889

Available online: 11 Mar 2010
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Abstract

We will generalize Skryabin's Freeness Theorem [1111. Skryabin , S. ( 2007 ). Projectivity and freeness over comodule algebras . Trans. Amer. Math. Soc. 359 : 2597 – 2623 .
[CrossRef], [Web of Science ®]
View all references]to quasi-Hopf algebras. We will show that for a finite dimensional quasi-Hopf algebra H and a right coideal subalgebra K  H all (H, K)-quasi Hopf bimodules are free K-modules, in particular, H is a free right and left K-module.

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  • Available online: 11 Mar 2010

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  • a Mathematisches Institut der Universität München, München, Germany

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