ON UNIVERSAL COVERINGS OF LIE TORI

Title & Authors
ON UNIVERSAL COVERINGS OF LIE TORI
Khalili, Valiollah;

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 $\small{{\Lambda}}$-torus of type $\small{{\Delta}}$ is again a Lie $\small{{\Lambda}}$-torus of type $\small{{\Delta}}$.
Keywords
root graded Lie algebras;extended affine Lie algebras and Lie tori;
Language
English
Cited by
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