• Title, Summary, Keyword: extended affine Lie algebras and Lie tori

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ON UNIVERSAL COVERINGS OF LIE TORI

  • Khalili, Valiollah
    • Bulletin of the Korean Mathematical Society
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    • v.49 no.6
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    • pp.1199-1211
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    • 2012
  • 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 ${\Delta}$.