Faithful representations of Heisenberg Lie superalgebras

Suppose the underlying field is an algebraically closed field of characteristic [Formula: see text] In this paper, we describe all the faithful irreducible representations of a Heisenberg Lie superalgebra. Moreover, we obtain the minimal dimension of the faithful representations of a Heisenberg Lie superalgebra.

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Publication Details

Journal
Journal of Algebra and Its Applications
Published
2025-08-22
DOI
https://doi.org/10.1142/s0219498827500241
Primary Topic
Advanced Topics in Algebra
Type
article
Field-Weighted Citation Impact
0.00
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article

Faithful representations of Heisenberg Lie superalgebras

Shuang Lang, Jizhu Nan, Wende Liu
Journal of Algebra and Its Applications
Advanced Topics in Algebra
article

Faithful representations of Heisenberg Lie superalgebras

Shuang Lang, Jizhu Nan, Wende Liu
article en

Abstract

Suppose the underlying field is an algebraically closed field of characteristic [Formula: see text] In this paper, we describe all the faithful irreducible representations of a Heisenberg Lie superalgebra. Moreover, we obtain the minimal dimension of the faithful representations of a Heisenberg Lie superalgebra.

Journal of Algebra and Its Applications
Hainan Normal University (CN), Liaoning Normal University (CN), Dalian University of Technology (CN)
Openalex Percentile: Top 71%
Advanced Topics in Algebra
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