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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].

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

Software:

Magma; CoReLG; LiE; SLA; GAP
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