## 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

SHOWING 1-10 OF 21 REFERENCES

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- Mathematics
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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