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.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- November 2008
- DOI:
- 10.48550/arXiv.0811.3187
- arXiv:
- arXiv:0811.3187
- Bibcode:
- 2008PhDT.......199D
- Keywords:
-
- Mathematics - Operator Algebras;
- Mathematics - Quantum Algebra;
- 58B34;
- 17B37
- E-Print:
- PhD thesis (SISSA, October 2007), 157 pages, 2 PNG images. Packages: pdf-LaTeX (pdf-Tex v1.40.4), hyperref, graphicx, pictex, dcpic (v1.24)