Open Access
Summer 2011 Quantum continuous gl: Tensor products of Fock modules and Wn-characters
B. Feigin, E. Feigin, M. Jimbo, T. Miwa, E. Mukhin
Kyoto J. Math. 51(2): 365-392 (Summer 2011). DOI: 10.1215/21562261-1214384


We construct a family of irreducible representations of the quantum continuous gl whose characters coincide with the characters of representations in the minimal models of the Wn-algebras of gln type. In 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.


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B. Feigin. E. Feigin. M. Jimbo. T. Miwa. E. Mukhin. "Quantum continuous gl: Tensor products of Fock modules and Wn-characters." Kyoto J. Math. 51 (2) 365 - 392, Summer 2011.


Published: Summer 2011
First available in Project Euclid: 22 April 2011

zbMATH: 1278.17013
MathSciNet: MR2793272
Digital Object Identifier: 10.1215/21562261-1214384

Primary: 05E10 , 17B37 , 81R10

Rights: Copyright © 2011 Kyoto University

Vol.51 • No. 2 • Summer 2011
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