Representations of the algebra sl(2, R) and integration of Hamiltonian systems
โ Scribed by S. Wojciechowski
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 193 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0375-9601
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๐ SIMILAR VOLUMES
We give a representation-theoretic interpretation of the sine-Gordon equation using the action of affine Kac-Moody algebra sl 2 on the Weyl algebra. In this setup t-functions become functions in non-commuting variables. The skew Casimir operators that we introduce here, give rise to a hierarchy of p
In this paper, we analyze a representation of a ne nonlinear systems in the form of series of nonlinear power moments. A di erence between such a representation and the representation as the Fliess series is caused by a di erence in the structure of corresponding algebras. It leads to a di erence be