We consider the problem of constructing semisimple subalgebras of real (semi-) simple Lie algebras. We develop computational methods that help to deal with this problem. Our methods boil down to solving a set of polynomial equations. In many cases the equations turn out to be sufficiently “pleasant” to be able to solve them. In particular this is the case for S-subalgebras.

Constructing semisimple subalgebras of real semisimple Lie algebras / De Graaf, Willem Adriaan; Faccin, Paolo. - STAMPA. - 652:(2015), pp. 75-89.

Constructing semisimple subalgebras of real semisimple Lie algebras

De Graaf, Willem Adriaan;Faccin, Paolo
2015-01-01

Abstract

We consider the problem of constructing semisimple subalgebras of real (semi-) simple Lie algebras. We develop computational methods that help to deal with this problem. Our methods boil down to solving a set of polynomial equations. In many cases the equations turn out to be sufficiently “pleasant” to be able to solve them. In particular this is the case for S-subalgebras.
2015
Lie Algebras and Related Topics
Providence
American Mathematical Society
De Graaf, Willem Adriaan; Faccin, Paolo
Constructing semisimple subalgebras of real semisimple Lie algebras / De Graaf, Willem Adriaan; Faccin, Paolo. - STAMPA. - 652:(2015), pp. 75-89.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/197081
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