Noncommutative geometry: fuzzy spaces, the Groenewold-Moyal plane

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2006
• Main Authors: Balachandran, A.P., Qureshi, B.A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146049
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Noncommutative geometry: fuzzy spaces, the Groenewold-Moyal plane / A.P. Balachandran, B.A. Qureshi // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 55 назв. — англ.

In this talk, we review the basics concepts of fuzzy physics and quantum field theory on the Groenewold-Moyal Plane as examples of noncommutative spaces in physics. We introduce the basic ideas, and discuss some important results in these fields. At the end we outline some recent developments in the...