We obtain a description of the Cartan subalgebras of Lie algebras arising from associative algebras and highlight their connections with the associative structure of the underlying algebra. In particular, the cases of division algebras, solvable associative algebras and group algebras are examined.
Cartan subalgebras in Lie algebras of associative algebras
SICILIANO, Salvatore
2006-01-01
Abstract
We obtain a description of the Cartan subalgebras of Lie algebras arising from associative algebras and highlight their connections with the associative structure of the underlying algebra. In particular, the cases of division algebras, solvable associative algebras and group algebras are examined.File in questo prodotto:
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