A constructive method for decomposing real representations. (May 2021)

• Record Type: Journal Article
• Authors: Ali, Sajid; Azad, Hassan; Biswas, Indranil; de Graaf, Willem A.
• Is Part Of: Journal of symbolic computation. Volume 104(2021)
• Page Start: 328
• Page End: 342
• Publication Date: 2021-05
• Subjects: 17B45 -- 20C40 -- 16Z05 -- 17B81; Lie algebras -- Weyl group -- Real representation -- Highest weights -- Joint-invariants; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2020.06.011
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: A constructive method for decomposing finite dimensional representations of semisimple real Lie algebras is developed. The method is illustrated by an example. We also discuss an implementation of the algorithm in the language of the computer algebra system GAP 4.