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arXiv · 1405.4149

An invariant for homogeneous spaces of compact quantum groups

Partha Sarathi Chakraborty·Arup Kumar Pal
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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.

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Partha Sarathi Chakraborty, Arup Kumar Pal. 2014-05-16. An invariant for homogeneous spaces of compact quantum groups. https://arxiv.org/abs/1405.4149

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