Using Cartan subalgebras to calculate nilradicals and Levi subalgebras of Lie algebras

DOI10.1016/S0022-4049(99)00007-9zbMath0922.17002WikidataQ115340063 ScholiaQ115340063MaRDI QIDQ1294789

Willem A. De Graaf

Publication date: 16 August 1999

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

algorithmCartan subalgebranilradicalLevi subalgebranon-semisimple Lie algebra

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Structure theory for Lie algebras and superalgebras (17B05) Solvable, nilpotent (super)algebras (17B30) Computational methods for problems pertaining to nonassociative rings and algebras (17-08) Software, source code, etc. for problems pertaining to nonassociative rings and algebras (17-04)

Related Items

Finding the radical of matrix algebras using Fitting decompositions

Uses Software

• GAP
• Magma
• ELIAS
• CANONIK

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Decompositions of algebras over \(\mathbb{R}\) and \(\mathbb{C}\)
• On the Cartan subalgebra of a Lie algebra
• On the identification of a Lie algebra given by its structure constants. I: Direct decompositions, Levi decompositions, and nilradicals
• Lie algebraic computation
• Finding the radical of matrix algebras using Fitting decompositions
• Computing Levi decompositions in Lie algebras
• Computing Cartan subalgebras of Lie algebras
• Computing the structure of finite algebras
• Introduction to Lie Algebras and Representation Theory