𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the structure of a lie-admissible algebra in the space of Gâteaux differentiable operators

✍ Scribed by V. M. Savchin

Publisher
SP MAIK Nauka/Interperiodica
Year
1994
Tongue
English
Weight
88 KB
Volume
55
Category
Article
ISSN
0001-4346

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

The Lie Algebraic Structure of Different
The Lie Algebraic Structure of Differential Operators Admitting Invariant Spaces of Polynomials
✍ Frederico Finkel; Niky Kamran 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 269 KB

We prove that the scalar and 2 = 2 matrix differential operators which preserve the simplest scalar and vector-valued polynomial modules in two variables have a fundamental Lie algebraic structure. Our approach is based on a general graphical method which does not require the modules to be irreducib

Space of Second-Order Linear Differentia
Space of Second-Order Linear Differential Operators as a Module over the Lie Algebra of Vector Fields
✍ C. Duval; V.Yu. Ovsienko 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 271 KB

The space of linear differential operators on a smooth manifold M has a natural one-parameter family of Diff(M )-(and Vect(M )-) module structures, defined by their action on the space of tensor densities. It is shown that, in the case of secondorder differential operators, the Vect(M)-module struct