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A Continuous Bialgebra Structure on a Loop Algebra

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Lie Theory and Its Applications in Physics

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 36))

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Abstract

We define on the set of Fourier series on a Lie algebra operations which give on it the structure of a continuous bialgebra.

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Author information

Authors and Affiliations

  1. Laboratoire de Mathématiques, Université de Franche Comté, 25030, Besançon, France

    Rémi Léandre

Authors
  1. Rémi Léandre
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Correspondence to Rémi Léandre .

Editor information

Editors and Affiliations

  1. Bulgarian Academy of Sciences, 72 Tsarigradsko Chaussee, Sofia, 1784, Sofiya, Bulgaria

    Vladimir Dobrev

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Léandre, R. (2013). A Continuous Bialgebra Structure on a Loop Algebra. In: Dobrev, V. (eds) Lie Theory and Its Applications in Physics. Springer Proceedings in Mathematics & Statistics, vol 36. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54270-4_42

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