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Volume 34, Issue 1
On Lie 2-Dialgebras

Yu Qiao & Jia Zhao

DOI: 10.13447/j.1674-5647.2018.01.06

Commun. Math. Res., 34 (2018), pp. 54-64.

Published online: 2019-12

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  • Abstract

A Lie 2-bialgebra is a Lie 2-algebra equipped with a compatible Lie 2- coalgebra structure. In this paper, we give another equivalent description for Lie 2-bialgebras by using the structure maps and compatibility conditions. We can use this method to check whether a 2-term direct sum of vector spaces is a Lie 2-bialgebra easily.

  • Keywords

big bracket, Lie 2-algebra, Lie 2-coalgebra, Lie 2-bialgebra

  • AMS Subject Headings

17B66

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

yqiao@snnu.edu.cn (Yu Qiao)

zjia@snnu.edu.cn (Jia Zhao)

  • BibTex
  • RIS
  • TXT
@Article{CMR-34-54, author = {Qiao , Yu and Zhao , Jia}, title = {On Lie 2-Dialgebras}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {34}, number = {1}, pages = {54--64}, abstract = {

A Lie 2-bialgebra is a Lie 2-algebra equipped with a compatible Lie 2- coalgebra structure. In this paper, we give another equivalent description for Lie 2-bialgebras by using the structure maps and compatibility conditions. We can use this method to check whether a 2-term direct sum of vector spaces is a Lie 2-bialgebra easily.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2018.01.06}, url = {http://global-sci.org/intro/article_detail/cmr/13504.html} }
TY - JOUR T1 - On Lie 2-Dialgebras AU - Qiao , Yu AU - Zhao , Jia JO - Communications in Mathematical Research VL - 1 SP - 54 EP - 64 PY - 2019 DA - 2019/12 SN - 34 DO - http://doi.org/10.13447/j.1674-5647.2018.01.06 UR - https://global-sci.org/intro/article_detail/cmr/13504.html KW - big bracket, Lie 2-algebra, Lie 2-coalgebra, Lie 2-bialgebra AB -

A Lie 2-bialgebra is a Lie 2-algebra equipped with a compatible Lie 2- coalgebra structure. In this paper, we give another equivalent description for Lie 2-bialgebras by using the structure maps and compatibility conditions. We can use this method to check whether a 2-term direct sum of vector spaces is a Lie 2-bialgebra easily.

Qiao , Yu and Zhao , Jia. (2019). On Lie 2-Dialgebras. Communications in Mathematical Research . 34 (1). 54-64. doi:10.13447/j.1674-5647.2018.01.06
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