Leibniz algebras associated with representations of filiform Lie algebras

DOI10.1016/j.geomphys.2015.08.002zbMath1368.17001arXiv1411.6508OpenAlexW1144902390WikidataQ123356613 ScholiaQ123356613MaRDI QIDQ893248

L. M. Camacho, A. Kh. Khudoyberdiyev, Shavkat A. Ayupov, Bakhrom A. Omirov

Publication date: 13 November 2015

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.6508

zbMATH Keywords

Heisenberg algebraFock representationminimal faithful representationfiliform algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Solvable, nilpotent (super)algebras (17B30) Leibniz algebras (17A32)

Related Items (8)

Leibniz algebras associated with representations of Euclidean Lie algebra ⋮ Leibniz algebras constructed by representations of general diamond Lie algebras ⋮ Leibniz algebras associated with representations of the diamond Lie algebra ⋮ 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 ⋮ Solvable extensions of naturally graded quasi-filiform Leibniz algebras of second type ℒ¹ and ℒ³ ⋮ Leibniz algebras constructed by Witt algebras ⋮ Right and left solvable extensions of an associative Leibniz algebra

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