# On a Trace Functional for Formal Pseudo-Differential Operators and the Symplectic Structure of the Korteweg-Devries Type Equation.

Inventiones mathematicae (1978/79)

- Volume: 50, page 219-248
- ISSN: 0020-9910; 1432-1297/e

## Access Full Article

top## How to cite

topAdler, M.. "On a Trace Functional for Formal Pseudo-Differential Operators and the Symplectic Structure of the Korteweg-Devries Type Equation.." Inventiones mathematicae 50 (1978/79): 219-248. <http://eudml.org/doc/142614>.

@article{Adler1978/79,

author = {Adler, M.},

journal = {Inventiones mathematicae},

keywords = {Completely Integrable Hamiltonian Systems; Formal Pseudodifferential Operators; Trace Functional; Symplectic Structure; Abstract Lie Algebra Theorem; Korteweg-Devries Equation; Toda System},

pages = {219-248},

title = {On a Trace Functional for Formal Pseudo-Differential Operators and the Symplectic Structure of the Korteweg-Devries Type Equation.},

url = {http://eudml.org/doc/142614},

volume = {50},

year = {1978/79},

}

TY - JOUR

AU - Adler, M.

TI - On a Trace Functional for Formal Pseudo-Differential Operators and the Symplectic Structure of the Korteweg-Devries Type Equation.

JO - Inventiones mathematicae

PY - 1978/79

VL - 50

SP - 219

EP - 248

KW - Completely Integrable Hamiltonian Systems; Formal Pseudodifferential Operators; Trace Functional; Symplectic Structure; Abstract Lie Algebra Theorem; Korteweg-Devries Equation; Toda System

UR - http://eudml.org/doc/142614

ER -

## Citations in EuDML Documents

top- Faouzi Ammar, Cohomologies et déformations de certaines algèbres de Lie $\mathbb{Z}$-graduées
- Pierre van Moerbeke, Algèbres $\mathcal{W}$ et équations non-linéaires
- Michael Semenov-Tian-Shansky, Quantum integrable systems
- Boris Khesin, Hamiltonian Dynamics on Pseudodifferential Symbols
- Elmar Schrohe, Traces on the cone algebra with asymptotics
- Benjamin Enriquez, Alexander Odesskii, Quantization of canonical cones of algebraic curves
- Tudor Ratiu, P. van Moerbeke, The Lagrange rigid body motion
- Adel Bilal, Non-Local Extensions of the Conformal Algebra : Matrix W-Algebras, Matrix KdV-Hierarchies and Non-Abelian Toda Theories
- J. Golenia, O. Hentosh, A. Prykarpatsky, Integrable three-dimensional coupled nonlinear dynamical systems related to centrally extended operator Lie algebras and their Lax type three-linearization
- Gloria Beffa, The Theory of differential invariance and infinite dimensional Hamiltonian evolutions

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.