Atomic decomposition for an affine Weyl group of type G2

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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Publication Details

Journal
Bulletin of the London Mathematical Society
Published
2026-09-01
DOI
https://doi.org/10.1112/blms.70489
Primary Topic
Advanced Algebra and Geometry
Type
article
Field-Weighted Citation Impact
0.00

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article

Atomic decomposition for an affine Weyl group of type G2

David Plaza, Bárbara Muniz, Claudia Rojas-andías
Bulletin of the London Mathematical Society
Advanced Algebra and Geometry
article

Atomic decomposition for an affine Weyl group of type G2

David Plaza, Bárbara Muniz, Claudia Rojas-andías
article en

Abstract

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 .

Bulletin of the London Mathematical SocietyVol. 58(9)
Jagiellonian University (PL), University of Talca (CL), Catholic University of the Maule (CL)
National Science Foundation, Narodowe Centrum Nauki, Agencia Nacional de Investigación y Desarrollo
Openalex Percentile: Top 88%
Advanced Algebra and Geometry
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