English

Multiplicative Hom-Lie superalgebra structures on infinite dimensional simple Lie superalgebras of vector fields

Rings and Algebras 2018-07-25 v1

Abstract

This paper considers the multiplicative Hom-Lie superalgebra structures on infinite dimensional simple Lie superalgebras of vector fields with characteristic zero. The main result is that there is only the multiplicative Hom-Lie superalgebra structure on these Lie superalgebras.

Keywords

Cite

@article{arxiv.1304.5616,
  title  = {Multiplicative Hom-Lie superalgebra structures on infinite dimensional simple Lie superalgebras of vector fields},
  author = {Jixia Yuan and Liping Sun and Wende Liu},
  journal= {arXiv preprint arXiv:1304.5616},
  year   = {2018}
}

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9 pages