Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4665045 | Advances in Mathematics | 2016 | 31 Pages |
Abstract
The central notion in Connes' formulation of noncommutative 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Partha Sarathi Chakraborty, Arup Kumar Pal,