3 papers
math.CO2026
Asymmetric Catalan and Shi Hyperplane Arrangements
Sucharita Biswas, Shubhanshu Prasad, Shushma Rani
In this paper, we study the regions of asymmetric extensions of the Catalan and Shi arrangements. We first determine the characteristic polynomials of a general class of Catalan an…
math.CO2025
Marked multi-colorings and marked chromatic polynomials of hypergraphs and subspace arrangements
Chaithra P, Shushma Rani, R. Venkatesh
We introduce the concepts of marked multi-colorings, marked chromatic polynomials, and marked (multivariate) independence series for hypergraphs. We show that the coefficients of t…
math.RT2025
Graded representations of current Lie superalgebras
Shushma Rani, Divya Setia
This paper is the study of finite-dimensional graded representations of current lie superalgebras . We define the notion of super POPs, a combinatorial tool…