8 citations · 25 across the 28 of their papers we have counts for
4 papers · 1 filter
Kostka-Foulkes polynomials for symmetrizable Kac-Moody algebras
Sankaran Viswanath
We introduce a generalization of the classical Hall-Littlewood and Kostka-Foulkes polynomials to all symmetrizable Kac-Moody algebras. We prove that these Kostka-Foulkes polynomial…
A note on exponents vs root heights for complex simple Lie algebras
Sankaran Viswanath
We give an elementary combinatorial proof of a special case of a result due to Bazlov and Ion concerning the Fourier coefficients of the Cherednik kernel. This can be used to give…
Poincare series of subsets of affine Weyl groups
Sankaran Viswanath
In this note, we identify a natural class of subsets of affine Weyl groups whose Poincare series are rational functions. This class includes the sets of minimal coset representativ…
On growth types of quotients of Coxeter groups by parabolic subgroups
Sankaran Viswanath
The principal objects studied in this note are Coxeter groups that are neither finite nor affine. A well known result of de la Harpe asserts that such groups have exponential g…