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math.RT2026
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…
math.RT2025
The saturation property for refined Littlewood-Richardson coefficients
Mrigendra Singh Kushwaha, K. N. Raghavan, Sankaran Viswanath
Given dominant integral weights of a finite-dimensional simple Lie algebra and an element of its Weyl group, the refined tensor product multiplicity…
math.RT2025
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…