4 papers
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…
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…
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…
Simplified presentations and embeddings of Demazure modules
Deniz Kus, R. Venkatesh
For an untwisted affine Lie algebra we prove an embedding of any higher level Demazure module into a tensor product of lower level Demazure modules (e.g. level one in type A) which…