35 citations · 71 across the 14 of their papers we have counts for
15 papers
Quantized function algebras at : type case
Manabendra Giri, Arup Kumar Pal
We define the notion of quantized function algebras at or crystallization of the deformations of the type compact Lie groups at the -algebra level. The $C^{*…
An approximate equivalence for the GNS representation of the Haar state of
Partha Sarathi Chakraborty, Arup Kumar Pal
We use the crystallised -algebra at to obtain a unitary that gives an approximate equivalence involving the GNS representation on the space of the…
An invariant for homogeneous spaces of compact quantum groups
Partha Sarathi Chakraborty, Arup Kumar Pal
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…
Regularity and dimension spectrum of the equivariant spectral triple for the odd dimensional quantum spheres
Arupkumar Pal, S. Sundar
The odd dimensional quantum sphere is a homogeneous space for the quantum group . A generic equivariant spectral triple for on its $L_…
On equivariant Dirac operators for
Partha Sarathi Chakraborty, Arupkumar Pal
We explain the notion of minimality for an equivariant spectral triple and show that the triple for the quantum SU(2) group constructed by Chakraborty and Pal in \cite{c-p1} is min…
Torus equivariant spectral triples for odd dimensional quantum spheres coming from -extensions
Partha Sarathi Chakraborty, Arupkumar Pal
The torus group has a canonical action on the odd dimensional sphere . We take the natural Hilbert space representation where this action is impleme…