Seminario di Algebra: Lifting via cocycle deformation (Agustín García Iglesias)

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26/02/2014
dalle 12:00 alle 13:00

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Aula 7 dip. Matematica e Informatica, via Machiavelli 35

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Lifting via cocycle deformation

Agustín García Iglesias (Universidad Nacional de Córdoba, Argentina)

 

Abstract: We develop a strategy to compute all liftings of a Nichols
algebra over a finite dimensional cosemisimple Hopf algebra. We produce
them as cocycle deformations of the bosonization of these two. The
process also produces new examples of (infinite dimensional) Hopf
algebras, as well as bi-Galois objects associated to bosonizations of
(pre-)Nichols algebras and their liftings.

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