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.
Cite
CITATION STYLE
Boulier, F., & Neut, S. (2001). Cartan’s characters and stairs of characteristic sets. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2227, pp. 363–372). Springer Verlag. https://doi.org/10.1007/3-540-45624-4_38
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