Quantum continuous gl∞: Tensor products of Fock modules and Wn-characters

Abstract

We construct a family of irreducible representations of the quantum continuous glα whose characters coincide with the characters of representations in the minimal models of the Wn-algebras of gl α type.particular, we obtain a simple combinatorial model for all representations of the Wn-algebras appearing in the minimal models in terms of n interrelating partitions. © 2011 by Kyoto University.