An invariant for homogeneous spaces of compact quantum groups

Authors

Partha Sarathi Chakraborty, Institute of Mathematical Sciences India
Arup Kumar Pal, Indian Statistical Institute (Delhi Centre)

Article Type

Research Article

Publication Title

Advances in Mathematics

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.

First Page

258

Last Page

288

DOI

10.1016/j.aim.2016.06.013

Publication Date

10-1-2016

Comments

Open Access; Bronze Open Access

Recommended Citation

Chakraborty, Partha Sarathi and Pal, Arup Kumar, "An invariant for homogeneous spaces of compact quantum groups" (2016). Journal Articles. 4095.
https://digitalcommons.isical.ac.in/journal-articles/4095