5 Citations
Symmetries of a Flat Cosymbol Algebra of Differential Operators
- MathematicsJournal of Mathematical Sciences
- 2017
In this paper, a structure theorem for the symmetries of a graded flat cosymbol algebra of differential operators is proved. Together with a lemma on equivariant polynomials also proved in the paper,…
The heritage of S.Lie and F.Klein: Geometry via transformation groups
- Mathematics
- 2006
We outline a framework which generalizes Felix Klein’s Erlangen Programm which he announced in 1872 after exchanging ideas with Sophus Lie .
The heritage of S.Lie and F.Klein: Geometry via transformation groups
- Mathematics
- 2006
We outline a framework which generalizes Felix Klein's Erlanger Programm which he announced in 1872 after exchanging ideas with Sophus Lie.
Symmetries of a Flat Cosymbol Algebra of Differential Operators
- Mathematics
- 2017
In this paper, a structure theorem for the symmetries of a graded flat cosymbol algebra of differential operators is proved. Together with a lemma on equivariant polynomials also proved in the paper,…
Logic of differential calculus and the zoo of geometric strujctures
- Mathematics
- 2015
Since the discovery of differential calculus by Newton and Leibniz and the subsequent continuous growth of its applications to physics, mechanics, geometry, etc, it was observed that partial…
References
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SOME HOMOLOGY SYSTEMS ASSOCIATED WITH THE DIFFERENTIAL CALCULUS IN COMMUTATIVE ALGEBRAS
- Mathematics
- 1979
A linguistic analysis of "differential" mathematics about ten years ago led the author to suspect that, as in the case of the visible part of an iceberg, only a small part of the "true" differential…
Infinitesimal Stokes’ Formula for Higher-Order de Rham Complexes
- Mathematics
- 1997
A higher-order de Rham complex dRσ [14] is associated with a commutative algebra A and a sequence of positive integers σ = (σ1σ2... It is called regular if σ is nondecreasing. We extend the algebraic…
An introduction to homological algebra
- Mathematics
- 1960
Preface 1. Generalities concerning modules 2. Tensor products and groups of homomorphisms 3. Categories and functors 4. Homology functors 5. Projective and injective modules 6. Derived functors 7.…
Prolongations of linear partial differential equations. I. A conjecture of Élie Cartan
- Mathematics
- 1968
© Gauthier-Villars (Éditions scientifiques et médicales Elsevier), 1968, tous droits réservés. L’accès aux archives de la revue « Annales scientifiques de l’É.N.S. » (http://www.…
Algebraic Geometry
- MathematicsNature
- 1973
Introduction to Algebraic Geometry.By Serge Lang. Pp. xi + 260. (Addison–Wesley: Reading, Massachusetts, 1972.)
Calculus over Commutative Algebras: A Concise User Guide
- Mathematics
- 1997
A short introduction to the theory of linear differential operators over commutative algebras is exposed.
Krasil’schik
- V. V. Lychagin, A. M. Vinogradov, Geometry of jet spaces and nonlinear partial differential equations, Gordon and Breach,
- 1986