info:eu-repo/semantics/article

Jordan-Chevalley decomposition in lie algebras

Fecha
2019-06
Registro en:
Cagliero, Leandro Roberto; Szechtman, Fernando; Jordan-Chevalley decomposition in lie algebras; Canadian Mathematical Soc; Canadian Mathematical Bulletin-bulletin Canadien de Mathematiques; 62; 2; 6-2019; 349-354
0008-4395
1496-4287
CONICET Digital
CONICET
Autor
Cagliero, Leandro Roberto
Szechtman, Fernando
Institución
Resumen
We prove that if is a solvable Lie algebra of matrices over a field of characteristic § and A∈s, then the semisimple and nilpotent summands of the Jordan-Chevalley decomposition of A belong to s if and only if there exist S, N ∈ s , is semisimple, is N ilpotent (not necessarily [S,N]=0) such that A= S + N.
Materias

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