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Color Lie Bialgebras: Big Bracket, Cohomology and Deformations

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Geometric and Harmonic Analysis on Homogeneous Spaces and Applications (TJC 2015)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 207))

Abstract

The main purpose of this paper is first to summarize the basics on color Lie bialgebras and then construct a big bracket which is used to define explicitly a cohomology complex and study deformations of color Lie bialgebras. Moreover, we provide some classification results and examples of cohomology computations.

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Author information

Authors and Affiliations

  1. Université de Haute-Alsace, 4 rue des Frères Lumière, 68093, Mulhouse, France

    Benedikt Hurle & Abdenacer Makhlouf

Authors
  1. Benedikt Hurle
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  2. Abdenacer Makhlouf
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Corresponding author

Correspondence to Benedikt Hurle .

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Editors and Affiliations

  1. Département de Mathématiques, Université de Sfax, Sfax, Tunisia

    Ali Baklouti

  2. Faculty of Mathematics, Kyushu University, Fukuoka, Fukuoka, Japan

    Takaaki Nomura

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Hurle, B., Makhlouf, A. (2017). Color Lie Bialgebras: Big Bracket, Cohomology and Deformations. In: Baklouti, A., Nomura, T. (eds) Geometric and Harmonic Analysis on Homogeneous Spaces and Applications. TJC 2015. Springer Proceedings in Mathematics & Statistics, vol 207. Springer, Cham. https://doi.org/10.1007/978-3-319-65181-1_3

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