The construction of 3-Lie 2-algebras

Chunyue Wang; Qingcheng Zhang

Czechoslovak Mathematical Journal (2018)

  • Volume: 68, Issue: 3, page 711-721
  • ISSN: 0011-4642

Abstract

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We construct a 3-Lie 2-algebra from a 3-Leibniz algebra and a Rota-Baxter 3-Lie algebra. Moreover, we give some examples of 3-Leibniz algebras.

How to cite

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Wang, Chunyue, and Zhang, Qingcheng. "The construction of 3-Lie 2-algebras." Czechoslovak Mathematical Journal 68.3 (2018): 711-721. <http://eudml.org/doc/294323>.

@article{Wang2018,
abstract = {We construct a 3-Lie 2-algebra from a 3-Leibniz algebra and a Rota-Baxter 3-Lie algebra. Moreover, we give some examples of 3-Leibniz algebras.},
author = {Wang, Chunyue, Zhang, Qingcheng},
journal = {Czechoslovak Mathematical Journal},
keywords = {3-Leibniz algebras; Rota-Baxter 3-Lie algebras; 3-Lie 2-algebras},
language = {eng},
number = {3},
pages = {711-721},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The construction of 3-Lie 2-algebras},
url = {http://eudml.org/doc/294323},
volume = {68},
year = {2018},
}

TY - JOUR
AU - Wang, Chunyue
AU - Zhang, Qingcheng
TI - The construction of 3-Lie 2-algebras
JO - Czechoslovak Mathematical Journal
PY - 2018
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 68
IS - 3
SP - 711
EP - 721
AB - We construct a 3-Lie 2-algebra from a 3-Leibniz algebra and a Rota-Baxter 3-Lie algebra. Moreover, we give some examples of 3-Leibniz algebras.
LA - eng
KW - 3-Leibniz algebras; Rota-Baxter 3-Lie algebras; 3-Lie 2-algebras
UR - http://eudml.org/doc/294323
ER -

References

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