On description of Leibniz algebras corresponding to \(sl _{2}\)

DOI10.1007/s10468-012-9367-xzbMath1300.17004OpenAlexW2093154758MaRDI QIDQ385528

Bakhrom A. Omirov, Rustam Turdibaev, Isamiddin S. Rakhimov

Publication date: 2 December 2013

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-012-9367-x

zbMATH Keywords

Lie algebrairreducible moduleLeibniz algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Structure theory for nonassociative algebras (17A60) Simple, semisimple, reductive (super)algebras (17B20) Leibniz algebras (17A32)

Related Items (28)

Arbitrary algebras with a multiplicative basis ⋮ Leibniz Algebras Associated to Extensions ofsl₂ ⋮ Itô’s theorem and metabelian Leibniz algebras ⋮ On classification problem of Loday algebras ⋮ The geometric classification of Leibniz algebras ⋮ The classification of 4-dimensional Leibniz algebras ⋮ Some remarks on semisimple Leibniz algebras ⋮ Leibniz algebras associated with representations of filiform Lie algebras ⋮ Leibniz algebras constructed by representations of general diamond Lie algebras ⋮ Modules over linear spaces admitting a multiplicative basis ⋮ Leibniz algebras and graphs ⋮ Description of some classes of Leibniz algebras ⋮ Unnamed Item ⋮ The second cohomology group of simple Leibniz algebras ⋮ Local and 2-local derivations and automorphisms on simple Leibniz algebras ⋮ On Leibniz superalgebras which even part is 𝔰𝔩2 ⋮ Leibniz algebras whose semisimple part is related to \(sl_2\) ⋮ Leibniz algebras admitting a multiplicative basis ⋮ Minimal representations of filiform Lie algebras and their application for construction of Leibniz algebras ⋮ Solvable extensions of the naturally graded quasi-filiform Leibniz algebra of second typeℒ² ⋮ Leibniz algebras of Heisenberg type ⋮ Solvable extensions of the naturally graded quasi-filiform Leibniz algebra of second type L4 ⋮ On Leibniz superalgebras with even part corresponding to \(\mathfrak{sl}_2 \) ⋮ Leibniz triple systems admitting a multiplicative basis ⋮ Solvable extensions of naturally graded quasi-filiform Leibniz algebras of second type ℒ¹ and ℒ³ ⋮ Leibniz algebras as non-associative algebras ⋮ Solvable extensions of the naturally graded quasi-filiform Leibniz algebra of second type L5 ⋮ Right and left solvable extensions of an associative Leibniz algebra

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On low-dimensional filiform Leibniz algebras and their invariants
• Leibniz homology of dialgebras of matrices
• A noncommutative version of Lie algebras: Leibniz algebras
• Leibniz algebras in characteristic
• On Isomorphisms and Invariants of Finite Dimensional Complex Filiform Leibniz Algebras
• On isomorphism classes and invariants of a subclass of low-dimensional complex filiform Leibniz algebras
• Classification of a subclass of low-dimensional complex filiform Leibniz algebras
• ON ONE-DIMENSIONAL LEIBNIZ CENTRAL EXTENSIONS OF A FILIFORM LIE ALGEBRA
• ON LIE-LIKE COMPLEX FILIFORM LEIBNIZ ALGEBRAS
• Algèbres de Leibnitz : définitions, propriétés
• Varieties of Nilpotent Complex Leibniz Algebras of Dimension Less than Five
• Dialgebras and related operads

This page was built for publication: On description of Leibniz algebras corresponding to \(sl _{2}\)