[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2012.49.6.1199

ON UNIVERSAL COVERINGS OF LIE TORI

Khalili, Valiollah (Department of Mathematics Faculty of Science Arak University)

Publication Information

Bulletin of the Korean Mathematical Society / v.49, no.6, 2012 , pp. 1199-1211 More about this Journal

Abstract

In this paper we give an introduction to the theory of universal central extensions of perfect Lie algebras. In particular, we will provide a model for the universal coverings of Lie tori and we show that automorphisms and derivations lift to the universal coverings. We also prove that the universal covering of a Lie ${\Lambda}$ -torus of type ${\Delta}$ is again a Lie ${\Lambda}$ -torus of type ${\Delta}$ .

Keywords

root graded Lie algebras; extended affine Lie algebras and Lie tori;

Citations & Related Records

Times Cited By SCOPUS : 2

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