On the relationship between dominance order and $ \theta $-dominance order on multipartitions

On the relationship between dominance order and $ \theta $-dominance order on multipartitions

Many cellular bases have been constructed for the cyclotomic Hecke algebras of $ G(\ell, 1, n) $. For example, with dominance order on multipartitions, Dipper, James, and Mathas constructed a cellular basis $ \{m_{{\mathfrak{s}}{\mathfrak{t}}}\} $ and Hu, Mathas constructed a graded cellular basis $...

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Bibliographic Details
Main Author: Kai Zhou
Format: Article
Language:English
Published: AIMS Press 2025-02-01
Series:AIMS Mathematics
Subjects:
cyclotomic hecke algebras
multipartitions
dominance order
$ \theta $-dominance order
weak $ \theta $-dominance order
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2025139
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https://www.aimspress.com/article/doi/10.3934/math.2025139

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