Chakraborty, Partha Sarathi ; Pal, Arupkumar (2008) Characterization of SU q (ℓ + 1)-equivariant spectral triples for the odd dimensional quantum spheres Journal fur die reine und angewandte Mathematik, 2008 (623). pp. 25-42. ISSN 0075-4102
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Official URL: http://doi.org/10.1515/CRELLE.2008.071
Related URL: http://dx.doi.org/10.1515/CRELLE.2008.071
Abstract
The quantum group SUq(l+1) has a canonical action on the odd dimensional sphere Sq(2l+1). All odd spectral triples acting on the L2 space of Sq(2l+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 and Pal for SUq(2).
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Walter de Gruyter GmbH & Co. KG. |
| ID Code: | 117027 |
| Deposited On: | 08 Apr 2021 07:33 |
| Last Modified: | 08 Apr 2021 07:33 |
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