A Constructive Introduction to Involution

Co-author(s): Jacques Calmet and Marcus Hausdorf

Reference: Proc. Int. Symp. Applications of Computer Algebra - ISACA 2000, R. Akerkar (ed), Allied Publishers, New Delhi 2001, pp. 33-50 (invited contribution)

Description: This informal paper outlines some of the basic ideas behind involution. It discusses combinatorial decompositions of cones in the monoid of multi indices and shows how this can be used to define both involutive bases of polynomial ideals and involutive systems of differential equations. Finally, some applications are sketched.

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