Type: Seminar

Distribution: World

Expiry: 7 Nov 2016

CalTitle1: Quasi-particle bases of standard affine sl2-modules

Auth: kevinc@pkevinc.pc (assumed)

Slaven Kozic (University of Sydney) Friday 7 October, 12-1pm, Place: Carslaw 375 Quasi-particle bases of standard affine sl_2-modules The aim of this talk is to present some connections between the representation theory of the affine Lie algebra sl2 and the Rogers-Ramanujan-type identities. I will define quasi-particles in the principal picture of affine sl2 and construct quasi-particle monomial bases of standard affine sl2-modules. Finally, I will show that their principally specialized characters are given as products of sum sides of the corresponding Rogers-Ramanujan-type identities with the character of the Fock space for the principal Heisenberg subalgebra. This is a joint work with Mirko Primc.