Chakraborty, Partha Sarathi ; Pal, Arupkumar (2008) Characterization of SUq(l+1)-equivariant spectral triples for the odd dimensional quantum spheres Arxiv-eprints . pp. 1-20.
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Official URL: http://arxiv.org/pdf/math/0701694v1.pdf
Abstract
The quantum group SUq(l+1) has a canonical action on the odd dimensional sphere Sq2l+1. All odd spectral triples acting on the L2 space of Sq2l+1 and equivariant under this action have been characterized. This characterization then leads to the construction of an optimum family of equivariant spectral triples having nontrivial K-homology class. These generalize the results of Chakraborty & Pal for SUq(2).
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Arxiv Publications. |
| Keywords: | Spectral Triples; Noncommutative Geometry; Quantum Group |
| ID Code: | 89577 |
| Deposited On: | 28 Apr 2012 12:51 |
| Last Modified: | 19 May 2016 04:05 |
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