Bialgebra cohomology, pointed Hopf algebras, and deformations

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We give explicit formulas for maps in a long exact sequence connecting bialgebra cohomology to Hochschild cohomology. We give a sufficient condition for the connecting homomorphism to be surjective. We apply these results to compute all bialgebra two-cocycles of certain Radford biproducts (bosonizations). These two-cocycles are precisely those associated to the finite dimensional pointed Hopf algebras in the recent classification of Andruskiewitsch and Schneider, in an interpretation of these Hopf algebras as graded bialgebra deformations of Radford biproducts.
Cohomological results in the paper were significantly improved and generalized. See new abstract for details

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Rings and Algebras, Quantum Algebra, 16W30, 16E40, 16S80

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http://salesiana.dossiersoluciones.com/handle/123456789/160601

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0704.2771
 http://arxiv.org/abs/0704.2771

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arXiv