Analytic linear Lie rack structures on Leibniz algebras

DOI10.1080/00927872.2020.1732399zbMath1464.17035arXiv1908.05057OpenAlexW3009701240MaRDI QIDQ5119316

Fatima-Ezzahrae Abid, Hamid Abchir, Mohamed Boucetta

Publication date: 3 September 2020

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.05057

zbMATH Keywords

simple Lie algebramultilinear algebraLie rackleft Leibniz algebra

Mathematics Subject Classification ID

Simple, semisimple, reductive (super)algebras (17B20) Lie-admissible algebras (17D25)

Cites Work

• A generalized Harish-Chandra isomorphism
• Cohomology of categorical self-distributivity
• Normal forms for smooth Poisson structures
• A classifying invariant of knots, the knot quandle
• A noncommutative version of Lie algebras: Leibniz algebras
• Chevalley restriction theorem for vector-valued functions on quantum groups
• COHOMOLOGY OF FROBENIUS ALGEBRAS AND THE YANG-BAXTER EQUATION
• DISTRIBUTIVE GROUPOIDS IN KNOT THEORY
• RACKS AND LINKS IN CODIMENSION TWO
• ON NILPOTENT AND SIMPLE LEIBNIZ ALGEBRAS
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