Algebras of quotients of Lie algebras

In this paper we introduce the notion of algebra of quotients of a Lie algebra. Properties such as semiprimeness, primeness or nondegeneracy can be lifted from a Lie algebra to its algebras of quotients. We construct a maximal algebra of quotients for every semiprime Lie algebra and give a Passman-like characterization of this (unique) maximal algebra of quotients.

(This paper has appeared in J. Pure Appl. Alg. 188 (2004), 175 - 188)


M. Siles < mercedes@agt.cie.uma.es >