# Seminario: "Nichols algebras of diagonal type"

## Martedì 3 dicembre 2013, ore 16:00 - Aula 1AD100 - Nicolas Andruskiewitsch

ARGOMENTI: Seminari

Seminario
Martedi 3 Dicembre 2013 alle ore 16:00, in Aula 1AD100, il Prof. Nicolas Andruskiewitsch (Cordoba), Visiting Scientist presso il nostro Dipartimento, terrà un seminario dal titolo "Nichols algebras of diagonal type".

Abstract
Nichols algebras are Hopf algebras in braided tensor categories with very particular properties; for instance, the positive parts of quantized enveloping algebras at a generic parameter, and their finite-dimensional counterparts when the parameter is a root of one, are Nichols algebras. The input datum to define a Nichols algebra is a braided vector space, that is a solution of the braid equation or equivalently of the quantum Yang-Baxter equation. Nichols algebras of diagonal type are by definition those corresponding to solutions of the braid equation given by a perturbation of the usual transposition given by a matrix of non-zero scalars. These Nichols algebras appear in the classification of pointed Hopf algebras with abelian group, within the method proposed by Hans-Jrgen Schneider and myself.