Seminario MALGA Padova Verona - Moduli Algebre Anelli: “Quantum determinants from finite-dimensional Nichols algebra”

Mercoledì 28 Febbraio 2018, ore 15:00 - Aula 1BC50 - Gaston Garcia


Mercoledì 28 Febbraio 2018 alle ore 15:00 in Aula 1BC50, Gaston Garcia (Universidad Nacional de La Plata, Argentina) terrà un seminario dal titolo “Quantum determinants from finite-dimensional Nichols algebra”, nell'ambito del Seminario Padova-Verona MALGA - Moduli Algebre Anelli.

In this talk I will introduce a method to construct quantum function algebras from braided vector spaces using the FRT construction and finite-dimensional Nichols algebras. It generalizes the construction of quantum function algebras using quantum grassmanian algebras. The main idea is to work with certain well-behaved objects, the Nichols algebras, on the braided tensor category of comodules associated with the FRT-bialgebra. It turns out that the braided vector space togheter with the one-dimensional comodule associated with the quantum determinant generate a rigid category which is equivalent to the comodule category of the localized FRT-bialgebra.
This talk is based on joint work with Marco Farinati (Univ. Buenos Aires, Argentina).