Journal of Lie Theory

no. 3
Minimal Faithful Representations for Trivial Central Extensions of Heisenberg Lie Superalgebras
Shuang Lang1; Wende Liu2; Xingxue Miao3; Shujuan Wang4
1School of Mathematics, Liaoning Normal University, Dalian, China
2School of Mathematics and Statistics, Hainan Normal University, Haikou, China
3School of Mathematical Sciences, Dalian University of Technology, Dalian, China
4School of Mathematical Sciences, Heilongjiang University, Harbin, China
Journal of Lie Theory, Volume 34 (2024) no. 3, pp. 639-652
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.
DOI: 10.5802/jolt.1353
Classification: 17B10, 17B30
Keywords: Heisenberg Lie superalgebra, minimal faithful representation, central extension

Shuang Lang  1 ; Wende Liu  2 ; Xingxue Miao  3 ; Shujuan Wang  4

1 School of Mathematics, Liaoning Normal University, Dalian, China
2 School of Mathematics and Statistics, Hainan Normal University, Haikou, China
3 School of Mathematical Sciences, Dalian University of Technology, Dalian, China
4 School of Mathematical Sciences, Heilongjiang University, Harbin, China 
Shuang Lang; Wende Liu; Xingxue Miao; Shujuan Wang. Minimal Faithful Representations for Trivial Central Extensions of Heisenberg Lie Superalgebras. Journal of Lie Theory, Volume 34 (2024) no. 3, pp. 639-652. doi: 10.5802/jolt.1353
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     title = {Minimal {Faithful} {Representations} for {Trivial} {Central} {Extensions} of {Heisenberg} {Lie} {Superalgebras}},
     journal = {Journal of Lie Theory},
     pages = {639--652},
     year = {2024},
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     number = {3},
     doi = {10.5802/jolt.1353},
     zbl = {1568.17009},
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