Solvable Leibniz Algebras with Heisenberg Nilradical

DOI10.1080/00927872.2014.891123zbMath1378.17004arXiv1307.8447OpenAlexW2094789634MaRDI QIDQ5256735

Jonathan D. Dunbar, John T. Hird, Lindsey Bosko, Kristen Stagg

Publication date: 19 June 2015

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

Full work available at URL: https://arxiv.org/abs/1307.8447

zbMATH Keywords

classificationsolvable Leibniz algebrasHeisenberg nilradical

Mathematics Subject Classification ID

Leibniz algebras (17A32)

Related Items

Finite-dimensional Leibniz algebras and combinatorial structures, Some cohomologically rigid solvable Leibniz algebras, Second-maximal subalgebras of Leibniz algebras, Classification of solvable Leibniz algebras with abelian nilradical and (k−1)-dimensional extension, On classification of 5-dimensional solvable Leibniz algebras, Leibniz Algebras with Invariant Bilinear Forms and Related Lie Algebras, Minimal nonnilpotent Leibniz algebras, Solvable extensions of the naturally graded quasi-filiform Leibniz algebra of second typeℒ², Solvable extensions of the naturally graded quasi-filiform Leibniz algebra of second type L4, Residually solvable extensions of an infinite dimensional filiform Leibniz algebra, Solvable extensions of naturally graded quasi-filiform Leibniz algebras of second type ℒ¹ and ℒ³, Solvable Leibniz algebras whose nilradical is a quasi-filiform Leibniz algebra of maximum length, Solvable extensions of the naturally graded quasi-filiform Leibniz algebra of second type L5, Classification of (2n−1)-dimensional solvable Leibniz algebras with n-dimensional nilradical, Right and left solvable extensions of an associative Leibniz algebra

Cites Work

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• Solvable Lie algebras with Heisenberg ideals
• Solvable Lie algebras with Abelian nilradicals
• Solvable Lie algebras with triangular nilradicals
• Maximal abelian subalgebras of real and complex symplectic Lie algebras
• Classification of solvable Leibniz algebras with null-filiform nilradical