3 papers
math.CO2025
On the Polytope Model and Near End node Isomorphisms of Type Kirillov--Reshetikhin Crystals
Dipnit Biswas, Irfan Habib
We prove an inductive formula to construct a path from the highest weight element to any given vertex in the crystal graph of the polytope realization of the Kirillov-Reshetikhin c…
math.CO2024
On the characterization of chordal graphs using Horn hypergeometric series
Dipnit Biswas, Irfan Habib, R. Venkatesh
Radchenko and Villegas characterized the chordal graphs by the inverse of their independence polynomials being Horn hypergeometric series in Radchenko et al. in 2021. In this paper…
math.RA2022
On symmetric closed subsets of real affine root systems
Dipnit Biswas, Irfan Habib, R. Venkatesh
Any symmetric closed subset of a finite crystallographic root system must be a closed subroot system. This is not, in general, true for real affine root systems. In this paper, we…