Journal of Lie Theory 34 (2024), No. 3, 639--652
Copyright Heldermann Verlag 2024
Minimal Faithful Representations for Trivial Central Extensions of Heisenberg Lie Superalgebras
Shuang Lang
School of Mathematics, Liaoning Normal University, Dalian, China
langshuang@lnnu.edu.cn
Wende Liu
School of Mathematics and Statistics, Hainan Normal University, Haikou, China
wendeliu@ustc.edu.cn
Xingxue Miao
School of Mathematical Sciences, Dalian University of Technology, Dalian, China
xingxuemiao@mail.dlut.edu.cn
Shujuan Wang
School of Mathematical Sciences, Heilongjiang University, Harbin, China
wangshujuan619@163.com
Let the underlying field F be an algebraically closed field of characteristic 0. We obtain minimal dimensions of nice faithful representations and nilrepresentations for trivial central extensions of Heisenberg Lie superalgebras.
Keywords: Heisenberg Lie superalgebra, minimal faithful representation, central extension.
MSC: 17B10, 17B30.
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