26 citations · 158 across the 39 of their papers we have counts for
8 papers · 1 filter
Gravitational Waves and Pommaret Bases
J. -F. Pommaret
The first finite length differential sequence, now called {\it Janet sequence}, has been introduced by Janet in 1920. Thanks to the first book of Pommaret in 1978, this algorithmic…
General Relativity and Gauge Theory: Beyond the Mirror
J. -F. Pommaret
Lie pseudogroups are groups of transformations solutions of systems of ordinary (OD) or partial differential (PD) equations. The purpose of this paper is to present an elementary s…
Differential Correspondences and Control Theory
J. -F. Pommaret
When a differential field having commuting derivations is given together with two finitely generated differential extensions and of , an important problem in dif…
Minimum Parametrization of the Cauchy Stress Operator
J. -F. Pommaret
When is a linear differential operator, a "direct problem " is to find the generating compatibility conditions (CC) in the form of an operator ${\cal{D}}…
The Conformal Group Revisited
J. -F. Pommaret
Since 100 years or so, it has been usually accepted that the " conformal group " could be defined in an arbitrary dimension n as the group of transformations preserving a non degen…
Differential Homological Algebra and General Relativity
J. -F. Pommaret
In 1916, F.S. Macaulay developed specific localization techniques for dealing with "unmixed polynomial ideals" in commutative algebra, transforming them into what he called "invers…