4 citations · 5 across the 5 of their papers we have counts for
5 papers · 1 filter
Relative parametrization of linear multidimensional systems
Jean-François Pommaret
In the last chapter of his book "The Algebraic Theory of Modular Systems " published in 1916, F. S. Macaulay developped specific techniques for dealing with " unmixed polynomial id…
A pedestrian approach to cosserat / Maxwell / weyl theory
Jean-François Pommaret
The purpose of this short notice is to present an elementary summary of a few recent results obtained through the application of the formal theory of systems of partial differentia…
Deformation cohomology of algebraic and geometric structures
Jean-François Pommaret
In 1953, the physicists E. Inonü and E.P. Wigner introduced the concept of deformation of a Lie algebra by claiming that the limit , when c is the speed of light…
Parametrization of Cosserat Equations
Jean-François Pommaret
As a matter of fact, the solution space of many systems of ordinary or partial differential equations in engineering or mathematical physics "can/cannot" be parametrized by a certa…
Arnold Hydrodynamics Revisited
Jean-François Pommaret
The purpose of this paper is to revisit the infinite Lie group theoretical framework of hydrodynamics developped by V. Arnold in 1966. First of all, we extend this approach from th…