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.
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Citation
Journal of Homotopy and Related StructuresAuthor affiliation
/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of MathematicsVersion
- VoR (Version of Record)