Jibladze-Pirashvili2019_Article_LieTheoryForSymmetricLeibnizAl.pdf (302.38 kB)
Lie theory for symmetric Leibniz algebras
journal contribution
posted on 2019-10-18, 08:58 authored by Mamuka Jiblazde, Teimuraz PirashviliLie 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 StructuresAuthor affiliation
/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of MathematicsVersion
- VoR (Version of Record)
Published in
Journal of Homotopy and Related StructuresPublisher
Springer (part of Springer Nature)eissn
1512-2891Acceptance date
2019-09-10Copyright date
2019Available date
2019-10-18Publisher DOI
Publisher version
https://link.springer.com/article/10.1007/s40062-019-00248-xLanguage
enAdministrator link
Usage metrics
Categories
No categories selectedLicence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC