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The Algebraic and Geometric Classification of Nilpotent Bicommutative Algebras

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We classify the complex 4-dimensional nilpotent bicommutative algebras from both algebraic and geometric approaches.

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Acknowledgments

This work was supported by FAPESP 18/15712-0; RFBR 18-31-00001; MTM2016-79661-P; FPU scholarship (Spain).

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Authors and Affiliations

  1. CMCC, Universidade Federal do ABC, Santo André, Brazil

    Ivan Kaygorodov

  2. University of Santiago de Compostela, Santiago de Compostela, Spain

    Pilar Páez-Guillán

  3. Novosibirsk State University, Novosibirsk, Russia

    Vasily Voronin

Authors
  1. Ivan Kaygorodov
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  2. Pilar Páez-Guillán
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  3. Vasily Voronin
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Correspondence to Ivan Kaygorodov.

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Presented by: Michel Brion

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Appendix

Appendix

Table 1 The list of 4-dimensional nilpotent “pure” bicommutative algebras
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Table 2 Degenerations of 4-dimensional nilpotent bicommutative algebras
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Kaygorodov, I., Páez-Guillán, P. & Voronin, V. The Algebraic and Geometric Classification of Nilpotent Bicommutative Algebras. Algebr Represent Theor 23, 2331–2347 (2020). https://doi.org/10.1007/s10468-019-09944-x

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Mathematics Subject Classification (2010)

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