The geometry of noncommutative symmetries

Authors
Paschke, M Sitarz, A
Citation
M. Paschke et A. Sitarz, The geometry of noncommutative symmetries, ACT PHY P B, 31(9), 2000, pp. 1897-1911
Citations number
20
Categorie Soggetti
Physics
Journal title
ACTA PHYSICA POLONICA B
ISSN journal
05874254 → ACNP
Volume
31
Issue
9
Year of publication
2000
Pages
1897 - 1911
Database
ISI
SICI code
0587-4254(200009)31:9<1897:TGONS>2.0.ZU;2-8
Abstract
We discuss the notion of noncommutative symmetries based on Hopf algebras i n the geometric models constructed within the framework of noncommutative g eometry. We introduce and discuss several notions of non-commutative symmet ries and outline the construction specific examples, for instance, finite a lgebras and the application of symmetries in the derivation of the Dirac op erator for the noncommutative torus.