A classification of low dimensional multiplicative Hom-Lie superalgebras

Chunyue Wang; Qingcheng Zhang; Zhu Wei

Open Mathematics (2016)

  • Volume: 14, Issue: 1, page 613-628
  • ISSN: 2391-5455

Abstract

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We study a twisted generalization of Lie superalgebras, called Hom-Lie superalgebras. It is obtained by twisting the graded Jacobi identity by an even linear map. We give a complete classification of the complex multiplicative Hom-Lie superalgebras of low dimensions.

How to cite

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Chunyue Wang, Qingcheng Zhang, and Zhu Wei. "A classification of low dimensional multiplicative Hom-Lie superalgebras." Open Mathematics 14.1 (2016): 613-628. <http://eudml.org/doc/286735>.

@article{ChunyueWang2016,
abstract = {We study a twisted generalization of Lie superalgebras, called Hom-Lie superalgebras. It is obtained by twisting the graded Jacobi identity by an even linear map. We give a complete classification of the complex multiplicative Hom-Lie superalgebras of low dimensions.},
author = {Chunyue Wang, Qingcheng Zhang, Zhu Wei},
journal = {Open Mathematics},
keywords = {Hom-Lie superalgebras; Multiplicative; Classification; multiplicative; classification},
language = {eng},
number = {1},
pages = {613-628},
title = {A classification of low dimensional multiplicative Hom-Lie superalgebras},
url = {http://eudml.org/doc/286735},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Chunyue Wang
AU - Qingcheng Zhang
AU - Zhu Wei
TI - A classification of low dimensional multiplicative Hom-Lie superalgebras
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 613
EP - 628
AB - We study a twisted generalization of Lie superalgebras, called Hom-Lie superalgebras. It is obtained by twisting the graded Jacobi identity by an even linear map. We give a complete classification of the complex multiplicative Hom-Lie superalgebras of low dimensions.
LA - eng
KW - Hom-Lie superalgebras; Multiplicative; Classification; multiplicative; classification
UR - http://eudml.org/doc/286735
ER -

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