On Lie bialgebroid crossed modules-Reference-Cited by-同舟云学术

On Lie bialgebroid crossed modules

Published:2021-03 Issue:04 Volume:32 Page:2150021
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Lang Honglei¹,Qiao Yu²,Yin Yanbin³^ORCID

Affiliation:

1. Department of Applied Mathematics, China Agricultural University, Beijing 100083, P. R. China

2. School of Mathematics and Statistics, Shaanxi Normal University, Xi’an 710119, P. R. China

3. School of Mathematics and Statistics, Henan University, Kaifeng 475004, P. R. China

Abstract

We study Lie bialgebroid crossed modules which are pairs of Lie algebroid crossed modules in duality that canonically give rise to Lie bialgebroids. A one-one correspondence between such Lie bialgebroid crossed modules and co-quadratic Manin triples [Formula: see text] is established, where [Formula: see text] is a co-quadratic Lie algebroid and [Formula: see text] is a pair of transverse Dirac structures in [Formula: see text].

Funder

Natural Science Basic Research Program of Shaanxi

National Natural Science Foundation of China

Basic and advanced technology research project in Henan province

the Fundamental Research Funds for the Central Universities

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X2150021X

Reference24 articles.

1. Lie 2-Bialgebras

2. Weak Lie 2-bialgebras

3. Poisson 2-Groups

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