Minimal Faithful Representations for Trivial Central Extensions of Heisenberg Lie Superalgebras
Journal of Lie theory, Tome 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.
Classification :
17B10, 17B30
Mots-clés : Heisenberg Lie superalgebra, minimal faithful representation, central extension
Mots-clés : Heisenberg Lie superalgebra, minimal faithful representation, central extension
@article{JLT_2024_34_3_JLT_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},
url = {http://geodesic.mathdoc.fr/item/JLT_2024_34_3_JLT_2024_34_3_a7/}
}
TY - JOUR AU - S. Lang AU - W. Liu AU - X. Miao AU - S. Wang TI - Minimal Faithful Representations for Trivial Central Extensions of Heisenberg Lie Superalgebras JO - Journal of Lie theory PY - 2024 SP - 639 EP - 652 VL - 34 IS - 3 UR - http://geodesic.mathdoc.fr/item/JLT_2024_34_3_JLT_2024_34_3_a7/ ID - JLT_2024_34_3_JLT_2024_34_3_a7 ER -
%0 Journal Article %A S. Lang %A W. Liu %A X. Miao %A S. Wang %T Minimal Faithful Representations for Trivial Central Extensions of Heisenberg Lie Superalgebras %J Journal of Lie theory %D 2024 %P 639-652 %V 34 %N 3 %U http://geodesic.mathdoc.fr/item/JLT_2024_34_3_JLT_2024_34_3_a7/ %F JLT_2024_34_3_JLT_2024_34_3_a7
S. Lang; W. Liu; X. Miao; S. Wang. Minimal Faithful Representations for Trivial Central Extensions of Heisenberg Lie Superalgebras. Journal of Lie theory, Tome 34 (2024) no. 3, pp. 639-652. http://geodesic.mathdoc.fr/item/JLT_2024_34_3_JLT_2024_34_3_a7/