The local integration of Leibniz algebras

DOI10.5802/aif.2754zbMath1358.17003arXiv1011.4112OpenAlexW2962923289WikidataQ123141240 ScholiaQ123141240MaRDI QIDQ1955955

Simon Covez

Publication date: 19 June 2013

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.4112

zbMATH Keywords

Leibniz algebrarack cohomologyLie rackLeibniz algebra cohomology

Mathematics Subject Classification ID

Leibniz algebras (17A32) Other generalizations of groups (20N99)

Related Items (23)

A new approach to Leibniz bialgebras ⋮ O-operators and related structures on Leibniz algebras ⋮ A class of Lie racks associated to symmetric Leibniz algebras ⋮ Itô’s theorem and metabelian Leibniz algebras ⋮ Lie rackoids ⋮ Differential graded Lie groups and their differential graded Lie algebras ⋮ Enhanced Leibniz algebras: structure theorem and induced Lie 2-algebra ⋮ Unnamed Item ⋮ On integral manifolds for Leibniz algebras ⋮ Cohomology of Leibniz algebras ⋮ Symplectic structures, product structures and complex structures on Leibniz algebras ⋮ Leibniz bialgebras, relative Rota-Baxter operators, and the classical Leibniz Yang-Baxter equation ⋮ Unnamed Item ⋮ Unnamed Item ⋮ ON REPRESENTATIONS OF SYMMETRIC LEIBNIZ ALGEBRAS ⋮ Deformation quantization of Leibniz algebras ⋮ Generalized Digroups ⋮ Leibniz Algebras with Invariant Bilinear Forms and Related Lie Algebras ⋮ Abelian and symmetric generalized digroups ⋮ On the concept of digroup action ⋮ Two-step nilpotent Leibniz algebras ⋮ Leibniz algebras as non-associative algebras ⋮ Global aspects of doubled geometry and pre-rackoid

Cites Work

• Universal enveloping algebras of Leibniz algebras and (co)homology
• A noncommutative version of Lie algebras: Leibniz algebras
• From racks to pointed Hopf algebras
• Central extensions of infinite-dimensional Lie groups
• Extensions of racks and quandles
• The complex of a group relative to a set of generators. I. II
• RACKS AND LINKS IN CODIMENSION TWO
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