Minimal Faithful Representations for Trivial Central Extensions of Heisenberg Lie Superalgebras

S. Lang; W. Liu; X. Miao; S. Wang

doi:10.5802/jolt.1353

S. Lang; W. Liu; X. Miao; S. Wang

Journal of Lie Theory, Volume 34 (2024) no. 3, pp. 639-652

Abstract

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.

Zbl

DOI: 10.5802/jolt.1353

Classification: 17B10, 17B30
Keywords: Heisenberg Lie superalgebra, minimal faithful representation, central extension

@article{JOLT_2024_34_3_a7,
     author = {S. Lang and W. Liu and X. Miao and S. Wang},
     title = {Minimal {Faithful} {Representations} for {Trivial} {Central} {Extensions} of {Heisenberg} {Lie} {Superalgebras}},
     journal = {Journal of Lie Theory},
     pages = {639--652},
     year = {2024},
     volume = {34},
     number = {3},
     doi = {10.5802/jolt.1353},
     zbl = {1568.17009},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1353/}
}

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S. Lang; W. Liu; X. Miao; S. 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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