, Volume 6, Issue 1, pp 25-52

Combinatorics of the\(\widehat{\mathfrak{s}\mathfrak{l}}_2 \) spaces of coinvariants

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

Abstract

We consider two types of quotients of the integrable modules of\(\widehat{\mathfrak{s}\mathfrak{l}}_2 \). These spaces of coinvariants have dimensions described in terms of the Verlinde algebra of levelk. We describe monomial bases for the spaces of coinvariants, which leads to a fermionic description of these spaces. Fork=1, we give explicit formulas for the characters. We also present recursion relations satisfied by the characters and the monomial bases.