Representations of Vector Productn-Lie Algebras

DOI10.1081/AGB-120038644zbMath1121.17003arXivmath/0202041OpenAlexW2091484123MaRDI QIDQ3158314

A. S. Dzhumadil'daev

Publication date: 24 January 2005

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

Full work available at URL: https://arxiv.org/abs/math/0202041

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items (17)

3-Lie bialgebras and 3-Lie classical Yang–Baxter equations in low dimensions ⋮ Irreducible continuous representations of the simple linearly compact \(n\)-Lie superalgebra of type \(W\) ⋮ Twilled 3-Lie algebras, generalized matched pairs of 3-Lie algebras and \(\mathcal{O}\)-operators ⋮ Irreducible highest weight representations of the simple \(n\)-Lie algebra ⋮ Cohomologies and generalized derivations of \(n\)-Lie algebras ⋮ Classification of simple linearly compact \(n\)-Lie superalgebras ⋮ \(T_{\theta}^{\ast}\)-extensions of \(n\)-Lie algebras ⋮ Irreducible continuous representations of the simple linearly compact n-Lie superalgebra of type S ⋮ The Socle of a Metricn-Lie Algebra ⋮ Centroid structures of \(n\)-Lie algebras ⋮ Structure of low dimensional \(n\)-Lie algebras over a field of characteristic 2 ⋮ \(k\)-modules over linear spaces by \(n\)-linear maps admitting a multiplicative basis ⋮ On infinite-dimensional 3-Lie algebras ⋮ Do $n$-Lie algebras have universal enveloping algebras ⋮ Classification of (n+3)-dimensional metric n-Lie algebras ⋮ Orbifold singularities, Lie algebras of the third kind (LATKes), and pure Yang–Mills with matter ⋮ Extensions of \(n\)-Hom Lie algebras

Cites Work

• Quotients simples de l'algèbre enveloppante de \({\mathfrak sl}_2\)

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