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

B. Feigin*, E. Feigin, M. Jimbo, T. Miwa, E. Mukhin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)365-392
Number of pages28
JournalKyoto Journal of Mathematics
Issue number2
StatePublished - Jun 2011
Externally publishedYes


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