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arXiv · 1002.3113

Quantum continuous $gl_\infty$: Tensor products of Fock modules and $W_n$ characters

B. Feigin·E. Feigin·M. Jimbo·T. Miwa·E. Mukhin
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Abstract

We construct a family of irreducible representations of the quantum continuous $gl_\infty$ whose characters coincide with the characters of representations in the minimal models of the $W_n$ algebras of $gl_n$ type. In particular, we obtain a simple combinatorial model for all representations of the $W_n$-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. 2010-02-16. Quantum continuous $gl_\infty$: Tensor products of Fock modules and $W_n$ characters. https://doi.org/10.1215/21562261-1214384

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