13 citations · 31 across the 6 of their papers we have counts for
5 papers · 1 filter
Unitary connections on Bratteli diagrams
Paramita Das, Mainak Ghosh, Shamindra Ghosh +1
In this paper, we extend Ocneanu's theory of connections on graphs to define a 2-category whose 0-cells are tracial Bratteli diagrams, and whose 1-cells are generalizations of unit…
Drinfeld center of planar algebra
Paramita Das, Shamindra Kumar Ghosh, Ved Prakash Gupta
We introduce fusion, contragradient and braiding of Hilbert affine representations of a subfactor planar algebra (not necessarily having finite depth). We prove that if $N \sub…
Weights on bimodules
Paramita Das, Shamindra Kumar Ghosh
The concept of a {\em weight} on a planar algebra was introduced in \cite{DGG}. In this article we give an alternate characterization of weights on a planar algebra in terms of `we…
Affine modules and the Drinfeld Center
Paramita Das, Shamindra Kumar Ghosh, Ved Prakash Gupta
Given a finite index subfactor, we show that the {\em affine morphisms at zero level} in the affine category over the planar algebra associated to the subfactor is isomorphic to th…
Perturbations of planar algebras
Paramita Das, Shamindra Kumar Ghosh, Ved Prakash Gupta
We analyze the effect of pivotal structures (on a 2-category) on the planar algebra associated to a 1-cell as in \cite{Gho08} and come up with the notion of {\em perturbations of p…