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

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