On the relationship between partial orders on multipartitions

Kai Zhou

Electronic Research Archive ›› 2026, Vol. 34 ›› Issue (12) : 9293 -9316.

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Electronic Research Archive ›› 2026, Vol. 34 ›› Issue (12) :9293 -9316. DOI: 10.3934/era.2026391
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On the relationship between partial orders on multipartitions
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Abstract

In this paper, we studied the relationship between several partial orders on multipartitions, including dominance order, θ-dominance order, weak θ-dominance order, a-function order, Webster’s ordering, and Lusztig’s aσ-ordering.

Keywords

multipartitions / dominance order / θ-dominance order / a-function order / Webster’s ordering / Lusztig’s a σ-ordering

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Kai Zhou. On the relationship between partial orders on multipartitions. Electronic Research Archive, 2026, 34 (12) : 9293-9316 DOI:10.3934/era.2026391

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