8 citations · 25 across the 28 of their papers we have counts for
31 papers
Kostant--Kumar modules: presentation and multiplicities
Manika Gupta, K. N. Raghavan, Sankaran Viswanath
Kostant--Kumar modules are submodules of a tensor product of irreducible highest weight modules over a symmetrizable Kac--Moody algebra, indexed by We…
On -systems of symmetrizable Kac-Moody algebras
K. N. Raghavan, Krishanu Roy, S. Viswanath
Given a symmetrizable Kac-Moody algebra $\mathfrack{g}$, we study its -systems, which are subsets of real roots, the pairwise differences of whose elements are not roots. Such s…
The affine Brylinski filtration and -algebras
Suresh Govindarajan, Sachin S. Sharma, Sankaran Viswanath
The Brylinski-Kostant filtration on a representation of a finite-dimensional semisimple Lie algebra has interpretations in terms of the algebra, geometry and combinatorics of the r…
-Whittaker polynomials: bases, branching and direct limits
Aritra Bhattacharya, T V Ratheesh, Sankaran Viswanath
We study -Whittaker polynomials and their monomial expansions given by the fermionic formula, the inv statistic of Haglund-Haiman-Loehr and the quinv statistic of Ayyer-Mandelsh…
Crystals for Kostant-Kumar modules of
Mrigendra Singh Kushwaha, K. N. Raghavan, Sankaran Viswanath
We consider the affine Lie algebra and the Kostant-Kumar submodules of tensor products of its level 1 highest weight integrable representations. We cons…
Unique Factorization For Tensor Products of Parabolic Verma Modules
K. N. Raghavan, V. Sathish Kumar, R. Venkatesh +1
Let be a symmetrizable Kac-Moody Lie algebra with Cartan subalgebra . We prove a unique factorization property for tensor products of parabolic Verma m…