1. CMB 2008 (vol 51 pp. 298)
|The Kostrikin Radical and the Invariance of the Core of Reduced Extended Affine Lie Algebras |
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