35 citations · 78 across the 21 of their papers we have counts for
27 papers
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…
Gelfand-Kirillov dimension of the algebra of regular functions on quantum groups
Partha Sarathi Chakraborty, Bipul Saurabh
Let be the -deformation of a simply connected simple compact Lie group of type , or and be the algebra of regular functions on . In…
Gelfand-Kirillov dimension of some simple unitarizable modules
Partha Sarathi Chakraborty, Bipul Saurabh
Let be the quantized algebra of regular functions on a semisimple simply connected compact Lie group . Simple unitarizable left -module are…
Comparison between two differential graded algebras in Noncommutative Geometry
Partha Sarathi Chakraborty, Satyajit Guin
Starting with a spectral triple one can associate two canonical differential graded algebras (dga) defined by Connes and Fröhlich et al. For the classical spectral triples associat…
Local index formula for the quantum double suspension
Partha Sarathi Chakraborty, Bipul Saurabh
Our understanding of local index formula in noncommutative geometry is stalled for a while because we do not have more than one explicit computation, namely that of Connes for quan…
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…