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

B. Feigin; E. Feigin; M. Jimbo; T. Miwa; E. Mukhin

doi:10.1215/21562261-1214384

Quantum continuous gl_∞: Tensor products of Fock modules and W_n-characters

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

Research output: Contribution to journal › Article › peer-review

Abstract

We construct a family of irreducible representations of the quantum continuous gl_α whose characters coincide with the characters of representations in the minimal models of the W_n-algebras of gl _α type.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.

Original language	English
Pages (from-to)	365-392
Number of pages	28
Journal	Kyoto Journal of Mathematics
Volume	51
Issue number	2
DOIs	https://doi.org/10.1215/21562261-1214384
State	Published - Jun 2011
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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title = "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.",

author = "B. Feigin and E. Feigin and M. Jimbo and T. Miwa and E. Mukhin",

year = "2011",

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doi = "10.1215/21562261-1214384",

language = "English",

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T1 - Quantum continuous gl∞

T2 - Tensor products of Fock modules and Wn-characters

AU - Feigin, B.

AU - Feigin, E.

AU - Jimbo, M.

AU - Miwa, T.

AU - Mukhin, E.

PY - 2011/6

Y1 - 2011/6

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/79957854822

U2 - 10.1215/21562261-1214384

DO - 10.1215/21562261-1214384

M3 - Article

SN - 0023-608X

VL - 51

SP - 365

EP - 392

JO - Kyoto Journal of Mathematics

JF - Kyoto Journal of Mathematics

IS - 2

ER -

Quantum continuous gl_∞: Tensor products of Fock modules and W_n-characters

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