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ON UNIVERSAL COVERINGS OF LIE TORI

Valiollah Khalili
대한수학회 (The Korean Mathematical Society)|2012.12|대한수학회보 (Bulletin of the KMS)|제49권 제6호|pp. 1199-1211

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참고문헌

키워드

root graded Lie algebrasextended affine Lie algebras and Lie tori
주제분류수학

초록

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 ${\Delta}$.

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 ${\Delta}$.

참고문헌 (28)

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