Dietrich, Heiko; Faccin, Paolo; de Graaf, Willem A. A GAP package for computing with real semisimple Lie algebras. (English) Zbl 1304.17001 Hong, Hoon (ed.) et al., Mathematical software – ICMS 2014. 4th international congress, Seoul, South Korea, August 5–9, 2014. Proceedings. Berlin: Springer (ISBN 978-3-662-44198-5/pbk). Lecture Notes in Computer Science 8592, 59-66 (2014). Summary: We report on the functionality and the underlying theory of the GAP package CoReLG (computing with real Lie groups); it provides functionality to construct real semisimple Lie algebras, to check for isomorphisms, and to compute Cartan decompositions, Cartan subalgebras, and nilpotent orbits.For the entire collection see [Zbl 1293.65003]. Cited in 2 Documents MSC: 17-08 Computational methods for problems pertaining to nonassociative rings and algebras 17B20 Simple, semisimple, reductive (super)algebras 68W30 Symbolic computation and algebraic computation Keywords:GAP; real semisimple Lie algebras Software:Magma; CoReLG; LiE; SLA; GAP PDFBibTeX XMLCite \textit{H. Dietrich} et al., Lect. Notes Comput. Sci. 8592, 59--66 (2014; Zbl 1304.17001) Full Text: DOI