Chakraborty, Partha Sarathi ; Pal, Arupkumar (2003) Spectral Triples and Associated Connes-de Rham Complex for the Quantum SU(2) and the Quantum Sphere Communications in Mathematical Physics, 240 (3). pp. 447-456. ISSN 0010-3616
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Official URL: http://doi.org/10.1007/s00220-003-0921-6
Related URL: http://dx.doi.org/10.1007/s00220-003-0921-6
Abstract
In this article, we construct spectral triples for the C *-algebra of continuous functions on the quantum SU(2) group and the quantum sphere. There have been various approaches towards building a calculus on quantum spaces, but there seem to be very few instances of computations outlined in Chapter 6, [5]. We give detailed computations of the associated Connes-de Rham complex and the space of L 2 -forms.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer Nature Switzerland AG. |
| Keywords: | Continuous Function; Detailed Computation; Quantum Space; Quantum Sphere; Spectral Triple. |
| ID Code: | 116913 |
| Deposited On: | 08 Apr 2021 07:17 |
| Last Modified: | 08 Apr 2021 07:17 |
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