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
2. CMB 2002 (vol 45 pp. 525)
|Some Factorizations in Universal Enveloping Algebras of Three Dimensional Lie Algebras and Generalizations|
|Some Factorizations in Universal Enveloping Algebras of Three Dimensional Lie Algebras and Generalizations |
We introduce the notion of Lie algebras with plus-minus pairs as well as regular plus-minus pairs. These notions deal with certain factorizations in universal enveloping algebras. We show that many important Lie algebras have such pairs and we classify, and give a full treatment of, the three dimensional Lie algebras with plus-minus pairs.
Categories:17B05, 17B35, 17B67, 17B70