Connections, Poisson Brackets, and Affine Algebras
โ Scribed by Daniel R. Farkas
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 203 KB
- Volume
- 180
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Poisson brackets (P.b.) are the natural initial terms for the deformation quantization of commutative algebras. There is an open problem whether any Poisson bracket on the polynomial algebra of n variables can be quantized. It is known (Poincare-Birkhoff-Witt theorem) that any linear P.b. for all n
In this paper we extend the usual hierarchies for the finite, nonperiodic Toda lattice for negative values of the index. We define an infinite sequence of rational homogeneous Poisson brackets, master symmetries, invariants and investigate the various relationships between them. All the relations be