3 papers
math.CO2025
Marked multi-colorings, partially commutative Lie superalgebras and right-angled Coxeter groups
Chaithra P, Deniz Kus, R. Venkatesh
Infinite-dimensional Lie superalgebras, particularly Borcherds-Kac-Moody (BKM) superalgebras, play a fundamental role in mathematical physics, number theory, and representation the…
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.RA2023
Root generated subalgebras of symmetrizable Kac-Moody algebras
Irfan Habib, Deniz Kus, R. Venkatesh
The derived algebra of a symmetrizible Kac-Moody algebra $\lie g$ is generated (as a Lie algebra) by its root spaces corresponding to real roots. In this paper, we address the natu…