3 papers
math.QA2025
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…
math.OA2024
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…
math.QA2024
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…