13/04/2018, room and schedule TBA, FaMAF
Quantum determinants in the FRT construction from Nichols algebras.
Speaker: Marco Farinati
Abstract:
Given a braided vector space (V,c), the FRT construction provides a (coquasitriangular) bialgebra A=A(c) whose comodule category is braided and contains (V,c) naturally. In general A is a bialgebra but not a Hopf algebra. In this joint work with Gastón García (UNLP), we find sufficient hypothesis for giving a procedure that finds an element «D» of group type in A (necessarily normal), and an explicit formula for the antipode in A[D^{-1}]. These hypotheses are motivated by the properties of finite-dimensional Nichols algebras.