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Cartan’s Characters and Stairs of Characteristic Sets

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Applied Algebra, Algebraic Algorithms and Error-Correcting Codes (AAECC 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2227))

Abstract

Differential geometry and differential algebra are two formalisms which can be used to study systems of partial differential equations. Cartan’s characters are numbers which naturally appear in the former case ; stairs of characteristic sets are pictures naturally drawn in the latter. In this paper, we clarify the relationship between these two notions. We prove also some invariant properties of characteristic sets.

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Author information

Authors and Affiliations

  1. Laboratoire d’Informatique Fondamentale, Université Lille I, 59655, Villeneuve d’Ascq, France

    François Boulier & Sylvain Neut

Authors
  1. François Boulier
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  2. Sylvain Neut
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Editor information

Editors and Affiliations

  1. Department of Mathematics, RMIT University, GPO Box 2476V, 3001, Melbourne, Australia

    Serdar Boztaş

  2. Department of Computing, Macquarie University, 2109, NSW, Australia

    Igor E. Shparlinski

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© 2001 Springer-Verlag Berlin Heidelberg

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Boulier, F., Neut, S. (2001). Cartan’s Characters and Stairs of Characteristic Sets. In: Boztaş, S., Shparlinski, I.E. (eds) Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. AAECC 2001. Lecture Notes in Computer Science, vol 2227. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45624-4_38

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  • DOI: https://doi.org/10.1007/3-540-45624-4_38

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42911-1

  • Online ISBN: 978-3-540-45624-7

  • eBook Packages: Springer Book Archive

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