Field-Theoretic Weyl Deformation Quantization of Enlarged Poisson Algebras

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2008
• Main Authors: Honegger, R., Rieckers, A., Schlafer, L.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149035
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Field-Theoretic Weyl Deformation Quantization of Enlarged Poisson Algebras / R. Honegger, A. Rieckers, L. Schlafer // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 61 назв. — англ.

C*-algebraic Weyl quantization is extended by allowing also degenerate pre-symplectic forms for the Weyl relations with infinitely many degrees of freedom, and by starting out from enlarged classical Poisson algebras. A powerful tool is found in the construction of Poisson algebras and non-commutati...