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arXiv · 2512.02559

Atomic decomposition for an affine Weyl group of type $G_2$

Bárbara Muniz·David Plaza·Claudia Rojas-andías
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Abstract

We show that the elements of the Kazhdan--Lusztig basis of the spherical Hecke algebra of type $G_2$ have an atomic decomposition. As a by-product, we obtain a new algorithm to compute generalized Kostka--Foulkes polynomials in type $G_2$.

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Bárbara Muniz, David Plaza, Claudia Rojas-andías. 2025-12-02. Atomic decomposition for an affine Weyl group of type $G_2$. https://arxiv.org/abs/2512.02559

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