4 citations · 7 across the 6 of their papers we have counts for
6 papers
Twisted edge Laplacians on finite graphs from a Kähler structure
Soumalya Joardar, Atibur Rahaman
In this paper we study a Kahler structure on finite points. In particular, we study the edge Laplacian of a graph twisted by the Kahler structure introduced in this paper. We also…
Almost complex structure on finite points from bidirected graphs
Soumalya Joardar, Atibur Rahaman
We show that there is an almost complex structure on a differential calculus on finite points coming from a bidirected finite graph without multiple edges or loops. We concentrate…
Quantum isomorphism of -graphs
Soumalya Joardar, Atibur Rahaman, Jitender Sharma
We formulate a notion of the quantum automorphism group of a -graph. After some preliminary computations, we define quantum isomorphism between a pair of -graphs. We produce…
Dual braided quantum groups
Atibur Rahaman
An explicit construction of the braided dual of quantum groups is described over the circle group with respect to a specific -matrix . Additionally, the c…
Anyonic quantum symmetries of finite spaces
Anshu, Suvrajit Bhattacharjee, Atibur Rahaman +1
We construct a braided analogue of the quantum permutation group and show that it is the universal braided compact quantum group acting on a finite space in the category of $\mathb…
Quantum groups for complex deformation parameters
Atibur Rahaman, Sutanu Roy
We construct a family of deformations of group for nonzero complex parameters as locally compact braided quantum groups over the circle group viewed…