Level-One Modules of Quantum N-Toroidal Algebras in Type B

Quantum [Formula: see text]-toroidal algebras are generalization of the quantum toroidal algebras. In this paper, we construct two types of level-one vertex representations of the quantum [Formula: see text]-toroidal algebras in type [Formula: see text], which also realize the quantum toroidal algebras of type [Formula: see text] as special cases.

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Publication Details

Journal
Algebra Colloquium
Published
2024-11-29
DOI
https://doi.org/10.1142/s1005386724000427
Primary Topic
Algebraic structures and combinatorial models
Type
article
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0.00
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article

Level-One Modules of Quantum N-Toroidal Algebras in Type B

Naihuan Jing, Honglian Zhang, Zhucheng Xu
Algebra Colloquium
Algebraic structures and combinatorial models
article

Level-One Modules of Quantum N-Toroidal Algebras in Type B

Naihuan Jing, Honglian Zhang, Zhucheng Xu
article en

Abstract

Quantum [Formula: see text]-toroidal algebras are generalization of the quantum toroidal algebras. In this paper, we construct two types of level-one vertex representations of the quantum [Formula: see text]-toroidal algebras in type [Formula: see text], which also realize the quantum toroidal algebras of type [Formula: see text] as special cases.

Algebra ColloquiumVol. 31(04)
Shanghai University (CN), North Carolina State University (US)
Openalex Percentile: Top 67%
Algebraic structures and combinatorial models
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Level-One Modules of Quantum N-Toroidal Algebras in Type B — Naihuan Jing, Honglian Zhang, et al. · Algebra Colloquium (2024) | TGRS Research Map | TGRS