Kyoto Journal of Mathematics
- Kyoto J. Math.
- Volume 51, Number 2 (2011), 365-392.
Quantum continuous : Tensor products of Fock modules and -characters
We construct a family of irreducible representations of the quantum continuous whose characters coincide with the characters of representations in the minimal models of the -algebras of type. In particular, we obtain a simple combinatorial model for all representations of the -algebras appearing in the minimal models in terms of interrelating partitions.
Kyoto J. Math. Volume 51, Number 2 (2011), 365-392.
First available in Project Euclid: 22 April 2011
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Mathematical Reviews number (MathSciNet)
Primary: 17B37: Quantum groups (quantized enveloping algebras) and related deformations [See also 16T20, 20G42, 81R50, 82B23] 81R10: Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, $W$-algebras and other current algebras and their representations [See also 17B65, 17B67, 22E65, 22E67, 22E70] 05E10: Combinatorial aspects of representation theory [See also 20C30]
Feigin, B.; Feigin, E.; Jimbo, M.; Miwa, T.; Mukhin, E. Quantum continuous gl ∞ : Tensor products of Fock modules and W n -characters. Kyoto J. Math. 51 (2011), no. 2, 365--392. doi:10.1215/21562261-1214384. https://projecteuclid.org/euclid.kjm/1303494507