Pointed and copointed Hopf algebras as cocycle deformations

Autor:	Grunenfelder, L., Mastnak, M.
Rok vydání:	2007
Předmět:	Mathematics - Rings and Algebras Mathematics - Quantum Algebra 16W30 16E40 16S80
Druh dokumentu:	Working Paper
Popis:	We show that all finite dimensional pointed Hopf algebras with the same diagram in the classification scheme of Andruskiewitsch and Schneider are cocycle deformations of each other. This is done by giving first a suitable characterization of such Hopf algebras, which allows for the application of a result of Masuoka about Morita-Takeuchi equivalence and of Schauenburg about Hopf Galois extensions. The "infinitesimal" part of the deforming cocycle and of the deformation determine the deformed multiplication and can be described explicitly in terms of Hochschild cohomology. Applications to, and results for copointed Hopf algebras are also considered. Comment: 44 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0709.0120 Zobrazit plný text záznamu View this record from Arxiv