In this paper, we studied the relationship between several partial orders on multipartitions, including dominance order, $ \theta $-dominance order, weak $ \theta $-dominance order, $ a $-function order, Webster's ordering, and Lusztig's $ \textbf{a}_\sigma $-ordering.
Citation: Kai Zhou. On the relationship between partial orders on multipartitions[J]. Electronic Research Archive, 2026, 34(12): 9293-9316. doi: 10.3934/era.2026391
In this paper, we studied the relationship between several partial orders on multipartitions, including dominance order, $ \theta $-dominance order, weak $ \theta $-dominance order, $ a $-function order, Webster's ordering, and Lusztig's $ \textbf{a}_\sigma $-ordering.
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Kai Zhou. On the relationship between partial orders on multipartitions[J]. Electronic Research Archive, 2026, 34(12): 9293-9316. doi: 10.3934/era.2026391
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