Derivations of the Moyal Algebra and Noncommutative Gauge Theories

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2009
• Main Author: Wallet, Jean-Christophe
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149248
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Derivations of the Moyal Algebra and Noncommutative Gauge Theories / Jean-Christophe Wallet // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 52 назв. — англ.

The differential calculus based on the derivations of an associative algebra underlies most of the noncommutative field theories considered so far. We review the essential properties of this framework and the main features of noncommutative connections in the case of non graded associative unital al...