Representation of real solvable Lie algebras having 2-dimensional derived ideal and geometry of coadjoint orbits of corresponding Lie groups

DOI10.1142/S1793557122501935WikidataQ115244506 ScholiaQ115244506MaRDI QIDQ5876843

Tu T. C. Nguyen, Vu Anh Le

Publication date: 2 February 2023

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.00536

zbMATH Keywords

Lie algebracoadjoint representation

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Solvable, nilpotent (super)algebras (17B30) Representation theory of associative rings and algebras (16G99) Coadjoint orbits; nilpotent varieties (17B08)

Cites Work

• The topology of foliations formed by the generic K-orbits of a subclass of the indecomposable \(\mathrm{MD}_{5}\)-groups
• On the foliations formed by the generic K-orbits of the MD4-groups
• A classification of real finite-dimensional Lie algebras with a low- dimensional derived algebra
• On a refinement of Ado's theorem
• Applying matrix theory to classify real solvable Lie algebras having 2-dimensional derived ideals
• \(K\)-theory for the leaf space of foliations formed by the generic \(K\)-orbits of a class of solvable real Lie groups
• Minimal matrix representations of four-dimensional Lie algebras
• Minimal representations for 6-dimensional nilpotent Lie algebra
• CLASSIFICATION OF 5-DIMENSIONAL MD-ALGEBRAS HAVING COMMUTATIVE DERIVED IDEALS
• Affine Structures on Three-Step Nilpotent Lie Algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Representation of real solvable Lie algebras having 2-dimensional derived ideal and geometry of coadjoint orbits of corresponding Lie groups