✦ LIBER ✦

Quantization of the Gel'fand—Dikii brackets

✍ Scribed by S. L. Luk'yanov

Publisher: Springer US
Year: 1989
Tongue: English
Weight: 509 KB
Volume: 22
Category: Article
ISSN: 0016-2663
DOI: 10.1007/bf01077417

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Symplectic leaves of the Gel'fand-Dikii

Symplectic leaves of the Gel'fand-Dikii brackets and homotopy classes of nondegenerate curves

✍ V. Yu. Ovsienko; B. A. Khesin 📂 Article 📅 1990 🏛 Springer US 🌐 English ⚖ 783 KB

Classification of third-order linear dif

Classification of third-order linear differential equations and symplectic sheets of the Gel'fand-Dikii bracket

✍ V. Yu. Ovsienko 📂 Article 📅 1990 🏛 SP MAIK Nauka/Interperiodica 🌐 English ⚖ 484 KB

Action-angle variables for the Gel'fand-

Action-angle variables for the Gel'fand-Dikii flows

✍ Richard Beals; D. H. Sattinger 📂 Article 📅 1992 🏛 Springer 🌐 English ⚖ 1023 KB

The Gel'fand-Dikii Lie Algebras and the

The Gel'fand-Dikii Lie Algebras and the Virasoro algebra

✍ T. G. Khovanova 📂 Article 📅 1987 🏛 Springer US 🌐 English ⚖ 255 KB

Gel'fand -7 Dikii Hamiltonian operator a

Gel'fand -7 Dikii Hamiltonian operator and the coadjoint representation of the volterra group

✍ D. R. Lebedev; Yu. I. Manin 📂 Article 📅 1980 🏛 Springer US 🌐 English ⚖ 472 KB

On the Quantization of Poisson Brackets

✍ Joseph Donin 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 355 KB

In this paper we introduce two classes of Poisson brackets on algebras (or on sheaves of algebras). We call them locally free and nonsingular Poisson brackets. Using the Fedosov's method we prove that any locally free nonsingular Poisson bracket can be quantized. In particular, it follows from this