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

Published online by Cambridge University Press:  20 November 2018

Maribel Tocón
Maribel Tocón*
Affiliation:
Department of Mathematics and Statistics, University of Ottawa, Ottawa, ON, K1N 6N5 e-mail: maribel@uma.es
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Abstract

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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

17B0517B65extended affine Lie algebraLie toruscoreKostrikin radical
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 51 , Issue 2 , 01 June 2008 , pp. 298 - 309
Copyright
Copyright © Canadian Mathematical Society 2008

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