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Seminario: “On Nichols algebras over quantized enveloping algebras”

Venerdi 30 Giugno 2017, ore 14:30 - Aula 2BC30 - Nicolás Andruskiewitsch

ARGOMENTI: Seminars

Venerdi 30 Giugno 2017 alle ore 14:30 in Aula 2BC30, Nicolás Andruskiewitsch terrà un seminario dal titolo “On Nichols algebras over quantized enveloping algebras”.

Abstract
Nichols algebras are graded algebras with intricate combinatorial properties that appear as fundamental invariants of Hopf algebras. There is a Nichols algebra for each solution of the quantum Yang-Baxter equation. I will overview the definition, some basic properties and open questions on Nichols algebras. Then I will explain how to compute the Nichols algebras arising from representations of quantized enveloping algebras; in particular this leads to the calculation of its Gelfand-Kirillov dimension. The last result is joint work with Ivan Angiono.