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

http://dx.doi.org/10.4153/CMB-2008-030-5
Canad. Math. Bull. 51(2008), 298-309

  Published:2008-06-01
 Printed: Jun 2008

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.