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Differentials for Lie algebras

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Abstract

We develop a theory of relative Kähler differentials for Lie algebras. The main result is that the functor of relative differentials is representable, and that the universal object which represents it behaves properly with respect to étale base change. We illustrate how our construction yields a detailed analysis of the structure of derivations of multiloop algebras which is needed for the construction of Extended Affine Lie Algebras.

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Authors and Affiliations

  1. Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, T6G 2G1, Canada

    Jochen Kuttler & Arturo Pianzola

  2. Centro de Altos Estudios en Ciencias Exactas, Avenida de Mayo 866, (1084), Buenos Aires, Argentina

    Arturo Pianzola

Authors
  1. Jochen Kuttler
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  2. Arturo Pianzola
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Correspondence to Jochen Kuttler.

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Presented by Michel Brion.

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Kuttler, J., Pianzola, A. Differentials for Lie algebras. Algebr Represent Theor 18, 941–960 (2015). https://doi.org/10.1007/s10468-015-9526-y

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  • DOI: https://doi.org/10.1007/s10468-015-9526-y

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