Solvable extensions of a class of nilpotent linear Lie algebras

DOI10.1016/j.laa.2012.02.012zbMath1257.17017OpenAlexW2075382959WikidataQ115344691 ScholiaQ115344691MaRDI QIDQ417555

Dengyin Wang, Hui Ge, Xiao-Wei Li

Publication date: 14 May 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2012.02.012

zbMATH Keywords

classification of solvable Lie algebras

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Solvable, nilpotent (super)algebras (17B30) Simple, semisimple, reductive (super)algebras (17B20)

Cites Work

• Classification of solvable Lie algebras with a given nilradical by means of solvable extensions of its subalgebras
• Solvable Lie algebras of dimension \(\leq 4\) over perfect fields
• Solvable Lie algebras with naturally graded nilradicals and their invariants
• Classification of Solvable Lie Algebras
• Invariants of Lie algebras with fixed structure of nilradicals
• Solvable Lie Algebras with Quasifiliform Nilradicals
• All solvable extensions of a class of nilpotent Lie algebras of dimensionnand degree of nilpotencyn− 1
• A class of solvable Lie algebras and their Casimir invariants
• Solvable Lie algebras with Heisenberg ideals
• Solvable Lie algebras with Abelian nilradicals
• Solvable Lie algebras with triangular nilradicals
• Computation of invariants of Lie algebras by means of moving frames

This page was built for publication: Solvable extensions of a class of nilpotent linear Lie algebras