Atomic decomposition for an affine Weyl group of type $G_2$
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917118771986432 |
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| author | Muniz, Bárbara Plaza, David Rojas-andías, Claudia |
| author_facet | Muniz, Bárbara Plaza, David Rojas-andías, Claudia |
| contents | 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 $G_2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_02559 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Atomic decomposition for an affine Weyl group of type $G_2$ Muniz, Bárbara Plaza, David Rojas-andías, Claudia Representation Theory Combinatorics 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 $G_2$. |
| title | Atomic decomposition for an affine Weyl group of type $G_2$ |
| topic | Representation Theory Combinatorics |
| url | https://arxiv.org/abs/2512.02559 |