26 citations · 158 across the 39 of their papers we have counts for
10 papers · 1 filter
Pure Differential Modules and a Result of Macaulay on Unmixed Polynomial Ideals
Jean-François Pommaret
The first purpose of this paper is to point out a curious result announced by Macaulay on the Hilbert function of a differential module in his famous book The Algebraic Theory of M…
Macaulay inverse systems and Cartan-Kahler theorem
J. -F Pommaret
During the last months or so we had the opportunity to read two papers trying to relate the study of Macaulay (1916) inverse systems with the so-called Riquier (1910)-Janet (1920)…
The mathematical foundations of gauge theory revisited
Jean-François Pommaret
We start recalling with critical eyes the mathematical methods used in gauge theory and prove that they are not coherent with continuum mechanics, in particular the analytical mech…
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…