Abstract
This paper contains the generalization of the Feigin-Stoyanovsky construction to all integrable sl̂r+1-modules. We give formulas for the q-characters of any highest-weight integrable module of sl̂r+1 as a linear combination of the fermionic q-characters of the fusion products of a special set of integrable modules. The coefficients in the sum are the entries of the inverse matrix of generalized Kostka polynomials in q -1. We prove the conjecture of Feigin and Loktev regarding the q-multiplicities of irreducible modules in the graded tensor product of rectangular highest weight-modules in the case of sl̂r+1. We also give the fermionic formulas for the q-characters of the (non-level-restricted) fusion products of rectangular highest-weight integrable sl̂r+1.
Original language | English (US) |
---|---|
Pages (from-to) | 427-464 |
Number of pages | 38 |
Journal | Communications in Mathematical Physics |
Volume | 264 |
Issue number | 2 |
DOIs | |
State | Published - Jun 2006 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics