An invariant for homogeneous spaces of compact quantum groups
Quantum Algebra
2014-06-05 v2
Abstract
The central notion in Connes' formulation of non commutative geometry is that of a spectral triple. Given a homogeneous space of a compact quantum group, restricting our attention to all spectral triples that are `well behaved' with respect to the group action, we construct a certain dimensional invariant. In particular, taking the (quantum) group itself as the homogeneous space, this gives an invariant for a compact quantum group. Computations of this invariant in several cases, including all type A quantum groups, are given.
Keywords
Cite
@article{arxiv.1405.4149,
title = {An invariant for homogeneous spaces of compact quantum groups},
author = {Partha Sarathi Chakraborty and Arup Kumar Pal},
journal= {arXiv preprint arXiv:1405.4149},
year = {2014}
}
Comments
arXiv admin note: text overlap with arXiv:math/0503689; v2: few references added, and a few small changes in the text made