CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Publications        
Abstract view

The Kostrikin Radical and the Invariance of the Core of Reduced Extended Affine Lie Algebras

  Published:2008-06-01
 Printed: Jun 2008
  • Maribel Tocón
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

Abstract

In this paper we prove that the Kostrikin radical of an extended affine Lie algebra of reduced type coincides with the center of its core, and use this characterization to get a type-free description of the core of such algebras. As a consequence we get that the core of an extended affine Lie algebra of reduced type is invariant under the automorphisms of the algebra.
Keywords: extended affine Lie algebra, Lie torus, core, Kostrikin radical extended affine Lie algebra, Lie torus, core, Kostrikin radical
MSC Classifications: 17B05, 17B65 show english descriptions Structure theory
Infinite-dimensional Lie (super)algebras [See also 22E65]
17B05 - Structure theory
17B65 - Infinite-dimensional Lie (super)algebras [See also 22E65]
 

© Canadian Mathematical Society, 2014 : http://www.cms.math.ca/