Atomic decomposition for an affine Weyl group of type $G_2$
Representation Theory
2025-12-03 v1 Combinatorics
Abstract
We show that the elements of the Kazhdan--Lusztig basis of the spherical Hecke algebra of type have an atomic decomposition. As a by-product, we obtain a new algorithm to compute generalized Kostka--Foulkes polynomials in type .
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Cite
@article{arxiv.2512.02559,
title = {Atomic decomposition for an affine Weyl group of type $G_2$},
author = {Bárbara Muniz and David Plaza and Claudia Rojas-andías},
journal= {arXiv preprint arXiv:2512.02559},
year = {2025}
}
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15 pages