Jibladze-Pirashvili2019_Article_LieTheoryForSymmetricLeibnizAl.pdf (302.38 kB)
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Lie theory for symmetric Leibniz algebras

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journal contribution
posted on 18.10.2019, 08:58 by Mamuka Jiblazde, Teimuraz Pirashvili
Lie algebras and groups equipped with a multiplication μ satisfying some compatibility properties are studied. These structures are called symmetric Lie μ -algebras and symmetric μ -groups respectively. An equivalence of categories between symmetric Lie μ -algebras and symmetric Leibniz algebras is established when 2 is invertible in the base ring. The second main result of the paper is an equivalence of categories between simply connected symmetric Lie μ -groups and finite dimensional symmetric Leibniz algebras.

History

Citation

Journal of Homotopy and Related Structures

Author affiliation

/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics

Version

VoR (Version of Record)

Published in

Journal of Homotopy and Related Structures

Publisher

Springer (part of Springer Nature)

eissn

1512-2891

Acceptance date

10/09/2019

Copyright date

2019

Available date

18/10/2019

Publisher version

https://link.springer.com/article/10.1007/s40062-019-00248-x

Language

en

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