Spectral triples and associated Connes-de Rham complex for the quantum SU(2) and the quantum sphere

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

[img]
Preview
PDF - Author Version
183kB

Official URL: http://www.springerlink.com/content/vfkxlxxqr6uerk...

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 L2-forms.

Item Type:Article
Source:Copyright of this article belongs to Springer.
Keywords:Spectral Triples; Exterior Complex
ID Code:89582
Deposited On:28 Apr 2012 12:50
Last Modified:19 May 2016 04:05

Repository Staff Only: item control page