Leibniz algebras of Heisenberg type

DOI10.1016/j.jalgebra.2015.12.018zbMath1353.17003arXiv1411.3861OpenAlexW2963678661WikidataQ123338106 ScholiaQ123338106MaRDI QIDQ5964510

L. M. Camacho, Bakhrom A. Omirov, Antonio Jesús Calderón Martín

Publication date: 29 February 2016

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

Full work available at URL: https://arxiv.org/abs/1411.3861

zbMATH Keywords

Heisenberg algebraFock representationLeibniz algebraminimal faithful representation

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 (11)

The geometric classification of Leibniz algebras ⋮ Leibniz algebras associated with representations of Euclidean Lie algebra ⋮ Leibniz algebras associated with representations of filiform Lie algebras ⋮ Leibniz algebras constructed by representations of general diamond Lie algebras ⋮ Some cohomologically rigid solvable Leibniz algebras ⋮ Varieties of null-filiform Leibniz algebras under the action of Hopf algebras ⋮ Degenerations of Zinbiel and nilpotent Leibniz 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 ⋮ Leibniz algebras as non-associative algebras ⋮ Leibniz algebras constructed by Witt algebras

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