Noncommutative Geometry and Quantum Group Symmetries

Abstract

Quantum groups and quantum homogeneous spaces - developed by several authors since the 80's - provide a large class of examples of algebras which for many reasons we interpret as `coordinate algebras' over noncommutative spaces. This dissertation is an attempt to understand them from the point of view of Connes' noncommutative geometry.

PhD thesis (SISSA, October 2007), 157 pages, 2 PNG images. Packages: pdf-LaTeX (pdf-Tex v1.40.4), hyperref, graphicx, pictex, dcpic (v1.24)

References in corpus (3)

• Gravity and the standard model with neutrino mixing
• Reconstruction of manifolds in noncommutative geometry
• The Isospectral Dirac Operator on the 4-dimensional Orthogonal Quantum Sphere

Cited by in corpus (1)

• Regularity and dimension spectrum of the equivariant spectral triple for the odd dimensional quantum spheres