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Descent constructions for central extensions of infinite dimensional Lie algebras

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Abstract

We use Galois descent to construct central extensions of twisted forms of split simple Lie algebras over rings. These types of algebras arise naturally in the construction of Extended Affine Lie Algebras. The construction also gives information about the structure of the group of automorphisms of such algebras.

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Authors and Affiliations

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

    Arturo Pianzola & Jie Sun

  2. Departamento de Matemática, Universidad CAECE, Avenida de Mayo 866, Buenos Aires, Argentina

    Daniel Prelat

Authors
  1. Arturo Pianzola
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  2. Daniel Prelat
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  3. Jie Sun
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Corresponding author

Correspondence to Arturo Pianzola.

Additional information

A. Pianzola is supported by the NSERC Discovery Grant Program. The author also wishes to thank the Instituto Argentino de Matemática for their hospitality. D. Prelat is supported by a Research Grant from Universidad CAECE.

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Pianzola, A., Prelat, D. & Sun, J. Descent constructions for central extensions of infinite dimensional Lie algebras. manuscripta math. 122, 137–148 (2007). https://doi.org/10.1007/s00229-006-0053-3

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  • DOI: https://doi.org/10.1007/s00229-006-0053-3

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