Freeness of Quasi-Hopf Algebras Over Right Coideal Subalgebras |
| |
Authors: | Hannah Henker |
| |
Institution: | 1. Mathematisches Institut der Universit?t München , München, Germany henker@mathematik.uni-muenchen.de |
| |
Abstract: | We will generalize Skryabin's Freeness Theorem 11
Skryabin , S. ( 2007 ). Projectivity and freeness over comodule algebras . Trans. Amer. Math. Soc. 359 : 2597 – 2623 .Crossref], Web of Science ®] , Google Scholar]]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. |
| |
Keywords: | Coideal subalgebras Quasi-Hopf algebras |
|
|