Real forms of embeddings of maximal reductive subalgebras of the complex simple Lie algebras of rank up to 8
Abstract
We consider the problem of determining the noncompact real forms of maximal reductive subalgebras of complex simple Lie algebras. We briefly describe two algorithms for this purpose that are taken from the literature. We discuss applications in theoretical physics of these embeddings. The supplementary material to this paper contains the tables of embeddings that we have obtained for all real forms of the semisimple Lie algebras of rank up to 8.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 April 2020
 DOI:
 10.1088/17518121/ab7c8c
 arXiv:
 arXiv:1911.06575
 Bibcode:
 2020JPhA...53o5203D
 Keywords:

 real forms;
 maximal subalgebras;
 MaxwellEinstein theory;
 magic square;
 Mathematics  Rings and Algebras;
 High Energy Physics  Theory;
 Mathematical Physics;
 22E60;
 17B20
 EPrint:
 some small changes