8 citations · 27 across the 14 of their papers we have counts for
16 papers
Some Results on Bichon's Quantum Automorphism Group of Graphs
Rajibul Haque, Ujjal Karmakar, Arnab Mandal
The notion of the quantum automorphism group of a graph was introduced by J. Bichon in 2003 and T. Banica in 2005 respectively. This article explores primarily the quantum automorp…
Quantum Symmetries of Graph C*-algebras Having Maximal Permutational Symmetry
Ujjal Karmakar, Arnab Mandal
Quantum symmetry of a graph -algebra corresponding to a finite graph has been explored by several mathematicians within different categories in the past few y…
Quantum Automorphism Group of Direct Sum of Cuntz Algebras
Ujjal Karmakar, Arnab Mandal
In this article, we explore the quantum symmetry of the direct sum of a finite family of Cuntz algebras , viewing them as graph -algebras ass…
Rigidity on Quantum Symmetry for a Certain Class of Graph C*-algebras
Ujjal Karmakar, Arnab Mandal
Quantum symmetry of graph -algebras has been studied, under the consideration of different formulations, in the past few years. It is already known that the compact quantum…
Carrier thermalization and zero-point bandgap renormalization in halide perovskites from the Urbach tails of the emission spectrum
Kingshuk Mukhuti, Arnab Mandal, Basabendra Roy +2
We develop techniques to study the temperature dependent localization, thermalization, and the effects of phonon scattering on the excitons in halide perovskites from the analysis…
Nonlinear optical responses of all-inorganic lead halide perovskite nanostructures by time-resolved beam-deflection technique
Samrat Roy, Arnab Mandal, Akshay Raj R. +2
We have investigated nonlinear refraction in all-inorganic halide perovskites, the CsPbBr and CsPbBrI nanosheet and quantum dot colloids in toluene, by a novel…
Classification of Cayley Rose Window Graphs
Angsuman Das, Arnab Mandal
Rose window graphs are a family of tetravalent graphs, introduced by Steve Wilson. Following it, Kovacs, Kutnar and Marusic classified the edge-transitive rose window graphs and Do…
An example of explicit dependence of quantum symmetry on KMS states
Soumalya Joardar, Arnab Mandal
We compute all the quantum symmetries of a graph with n- disjoint loops at the critical inverse temperature. We show that the set of non-isomorphic CQG's appearing as quantum symme…
Invariance of KMS states on graph C*-algebras under classical and quantum symmetry
Soumalya Joardar, Arnab Mandal
We study invariance of KMS states on graph C*-algebras coming from strongly connected and circulant graphs under the classical and quantum symmetry of the graphs. We show that the…
Quantum symmetry of graph C*-algebras at critical inverse temperature
Arnab Mandal, Soumalya Joardar
We give a notion of quantum automorphism group of graph C*-algebras without sink at critical inverse temperature. This is defined to be the universal object of a category of CQG's…
Quantum symmetries of the twisted tensor products of C*-algebras
Jyotishman Bhowmick, Arnab Mandal, Sutanu Roy +1
We consider the construction of twisted tensor products in the category of C*-algebras equipped with orthogonal filtrations and under certain assumptions on the form of the twist c…
Quantum Symmetry of Graph C*-algebras associated with connected Graphs
Soumalya Joardar, Arnab Mandal
We define a notion of quantum automorphism group of Graph C*-algebras for finite, connected graphs. Under the assumption that the underlying graph does not have any multiple edge o…
Example of a group whose quantum isometry group does not depend on the generating set
Arnab Mandal
In this article we have shown that the quantum isometry group of , denoted by as in \cite{gos_man}, with respect to a symmetric genera…
Hopf coactions on commutative algebras generated by a quadratically independent comodule
Pavel Etingof, Debashish Goswami, Arnab Mandal +1
Let A be a commutative unital algebra over an algebraically closed field k of characteristic not equal to 2, whose generators form a finite-dimensional subspace V, with no nontrivi…
Quantum isometry group of dual of finitely generated discrete groups-
Arnab Mandal
As a contribution of the programme of Goswami and Mandal (2014), we carry out explicit computations of , the quantum isometry group of the canonical spectral tripl…
Quantum Isometry group of dual of finitely generated discrete groups and quantum groups
Debashish Goswami, Arnab Mandal
We study quantum isometry groups, denoted by , of spectral triples on for a finitely generated discrete group coming from the word-length metric with r…