Cohomology and deformations of 3-dimensional Heisenberg Hom-Lie superalgebras

Junxia Zhu; Liangyun Chen

Czechoslovak Mathematical Journal (2021)

  • Volume: 71, Issue: 2, page 335-350
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Zhu, Junxia, and Chen, Liangyun. "Cohomology and deformations of 3-dimensional Heisenberg Hom-Lie superalgebras." Czechoslovak Mathematical Journal 71.2 (2021): 335-350. <http://eudml.org/doc/297776>.

@article{Zhu2021,
abstract = {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.},
author = {Zhu, Junxia, Chen, Liangyun},
journal = {Czechoslovak Mathematical Journal},
keywords = {Hom-Lie superalgebra; Lie superalgebra; Heisenberg Hom-Lie superalgebra; cohomology; deformation},
language = {eng},
number = {2},
pages = {335-350},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Cohomology and deformations of 3-dimensional Heisenberg Hom-Lie superalgebras},
url = {http://eudml.org/doc/297776},
volume = {71},
year = {2021},
}

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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 71
IS - 2
SP - 335
EP - 350
AB - 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.
LA - eng
KW - Hom-Lie superalgebra; Lie superalgebra; Heisenberg Hom-Lie superalgebra; cohomology; deformation
UR - http://eudml.org/doc/297776
ER -

References

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