09/11/2017, 16.00 hs, aula 27 FaMAF

Hopf algebras having a dense big cell

Expositor: Julien Bichon

Resumen: We will discuss some axioms that ensure that a quantum goup has its irreducible representations classified by means of an analogue of the Borel-Weil construction. The axioms are inspired by the work of Parshall-Wang for the usual q-deformation of GL(n).
We will examine in detail the example of the the free quantum group GL(2), for which the weight group is the free group on two generators. The talk will be based on joint work with Simon Riche.