Associative and Lie algebras of quotients
Perera Domènech, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Siles Molina, Mercedes (Universidad de Málaga. Departamento de Álgebra, Geometría y Topología)

Date:	2008
Abstract:	In this paper we examine how the notion of algebra of quotients for Lie algebras ties up with the corresponding well-known concept in the associative case. Specifically, we completely characterize when a Lie algebra Q is an algebra of quotients of a Lie algebra L in terms of the associative algebras generated by the adjoint operators of L and Q respectively. In a converse direction, we also provide with new examples of algebras of quotients of Lie algebras and these come from associative algebras of quotients. In the course of our analysis, we make use of the notions of density and multiplicative semiprimeness to link our results with the maximal symmetric ring of quotients.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Lie algebra ; Algebra of quotients ; Multiplicative semiprime algebra ; Dense extension
Published in:	Publicacions matemàtiques, V. 52 n. 1 (2008) p. 129-149, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/74467
DOI: 10.5565/PUBLMAT_52108_06

21 p, 221.2 KB

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