Cohomology and deformations of 3-dimensional Heisenberg Hom-Lie superalgebras
Czechoslovak Mathematical Journal, Tome 71 (2021) no. 2, pp. 335-350
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We study Hom-Lie superalgebras of Heisenberg type. For 3-dimensional Heisenberg Hom-Lie superalgebras we describe their Hom-Lie super structures, compute the cohomology spaces and characterize their infinitesimal deformations.
DOI :
10.21136/CMJ.2021.0310-19
Classification :
17B56, 17B60, 17B61, 17B99
Keywords: Hom-Lie superalgebra; Lie superalgebra; Heisenberg Hom-Lie superalgebra; cohomology; deformation
Keywords: Hom-Lie superalgebra; Lie superalgebra; Heisenberg Hom-Lie superalgebra; cohomology; deformation
@article{10_21136_CMJ_2021_0310_19,
author = {Zhu, Junxia and Chen, Liangyun},
title = {Cohomology and deformations of 3-dimensional {Heisenberg} {Hom-Lie} superalgebras},
journal = {Czechoslovak Mathematical Journal},
pages = {335--350},
publisher = {mathdoc},
volume = {71},
number = {2},
year = {2021},
doi = {10.21136/CMJ.2021.0310-19},
mrnumber = {4263173},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2021.0310-19/}
}
TY - JOUR AU - Zhu, Junxia AU - Chen, Liangyun TI - Cohomology and deformations of 3-dimensional Heisenberg Hom-Lie superalgebras JO - Czechoslovak Mathematical Journal PY - 2021 SP - 335 EP - 350 VL - 71 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2021.0310-19/ DO - 10.21136/CMJ.2021.0310-19 LA - en ID - 10_21136_CMJ_2021_0310_19 ER -
%0 Journal Article %A Zhu, Junxia %A Chen, Liangyun %T Cohomology and deformations of 3-dimensional Heisenberg Hom-Lie superalgebras %J Czechoslovak Mathematical Journal %D 2021 %P 335-350 %V 71 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2021.0310-19/ %R 10.21136/CMJ.2021.0310-19 %G en %F 10_21136_CMJ_2021_0310_19
Zhu, Junxia; Chen, Liangyun. Cohomology and deformations of 3-dimensional Heisenberg Hom-Lie superalgebras. Czechoslovak Mathematical Journal, Tome 71 (2021) no. 2, pp. 335-350. doi: 10.21136/CMJ.2021.0310-19
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