Quantum group of orientation-preserving Riemannian isometries

Bhowmick, Jyotishman ; Goswami, Debashish (2009) Quantum group of orientation-preserving Riemannian isometries Journal of Functional Analysis, 257 (8). pp. 2530-2572. ISSN 0022-1236

Full text not available from this repository.

Official URL: http://www.sciencedirect.com/science/article/pii/S...

Related URL: http://dx.doi.org/10.1016/j.jfa.2009.07.006


We formulate a quantum group analogue of the group of orientation-preserving Riemannian isometries of a compact Riemannian spin manifold, more generally, of a (possibly R-twisted and of compact type) spectral triple. The main advantage of this formulation, which is directly in terms of the Dirac operator, is that it does not need the existence of any ‘good’ Laplacian as in our previous works on quantum isometry groups. Several interesting examples, including those coming from Rieffel-type deformation as well as the equivariant spectral triples on SUμ(2) and S2μ,care discussed.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Compact Quantum Group; Quantum Isometry Groups; Spectral Triples
ID Code:102136
Deposited On:01 Feb 2018 04:02
Last Modified:01 Feb 2018 04:02

Repository Staff Only: item control page