Lie algebraic computation

DOI10.1016/0010-4655(96)00021-5zbMath0922.17003OpenAlexW2096721191MaRDI QIDQ1294626

Arjeh M. Cohen, Willem A. De Graaf

Publication date: 16 August 1999

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://research.tue.nl/nl/publications/93f057e5-39ae-467c-9289-ad40e89bf213

zbMATH Keywords

algorithmsLie algebrasGAPELIAS

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Structure theory for Lie algebras and superalgebras (17B05) Computational methods for problems pertaining to nonassociative rings and algebras (17-08)

Related Items (4)

Finding the radical of an algebra of linear transformations ⋮ Calculations in exceptional groups over rings. ⋮ ELIAS ⋮ Using Cartan subalgebras to calculate nilradicals and Levi subalgebras of Lie algebras

Uses Software

• GAP
• LIESUPER

Cites Work

• On the identification of a Lie algebra given by its structure constants. I: Direct decompositions, Levi decompositions, and nilradicals
• Introduction to algebra. Transl. from the Russian by Neal Koblitz
• Inversion height in free fields
• Computing the structure of finite algebras
• Continuous subgroups of the fundamental groups of physics. I. General method and the Poincaré group
• Introduction to Lie Algebras and Representation Theory
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