Representations of Leibniz algebras

DOI10.1007/s10468-014-9505-8zbMath1394.17003arXiv1502.07287OpenAlexW1507755872MaRDI QIDQ2348556

Alice Fialowski, É. Zs. Mihálka

Publication date: 15 June 2015

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

Full work available at URL: https://arxiv.org/abs/1502.07287

zbMATH Keywords

irreducible representationrepresentationsemisimple algebraLeibniz algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Leibniz algebras (17A32)

Related Items (19)

On indecomposable non-simple \(\mathbb{N} \)-graded vertex algebras ⋮ Leibniz algebras constructed by representations of general diamond Lie algebras ⋮ Finite-dimensional Leibniz algebras and combinatorial structures ⋮ On indecomposable vertex algebras associated with vertex algebroids ⋮ Abelian subalgebras and ideals of maximal dimension in solvable Leibniz algebras ⋮ On \(\mathbb{N}\)-graded vertex algebras associated with cyclic Leibniz algebras with small dimensions ⋮ Some Leibniz bimodules of 𝔰𝔩2 ⋮ On Leibniz cohomology ⋮ Local and 2-local derivations and automorphisms on simple Leibniz algebras ⋮ Leibniz Algebras with Invariant Bilinear Forms and Related Lie Algebras ⋮ 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 ⋮ On Leibniz superalgebras with even part corresponding to \(\mathfrak{sl}_2 \) ⋮ Vertex algebroids and conformal vertex algebras associated with simple Leibniz algebras ⋮ On the concept of digroup action ⋮ Solvable extensions of naturally graded quasi-filiform Leibniz algebras of second type ℒ¹ and ℒ³ ⋮ Poisson brackets, Novikov-Leibniz structures and integrable Riemann hydrodynamic systems ⋮ Leibniz algebras as non-associative algebras ⋮ Right and left solvable extensions of an associative Leibniz algebra

Cites Work

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• Conjugacy of Cartan subalgebras of complex finite-dimensional Leibniz algebras
• Universal enveloping algebras of Leibniz algebras and (co)homology
• A noncommutative version of Lie algebras: Leibniz algebras
• Leibniz representations of Lie algebras
• Schunck Classes of Soluble Leibniz Algebras
• On Engel's Theorem for Leibniz Algebras
• Some Theorems on Leibniz Algebras
• ON LEVI’S THEOREM FOR LEIBNIZ ALGEBRAS
• ON NILPOTENT AND SIMPLE LEIBNIZ ALGEBRAS

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