Peer-reviewedCC BY 4.0The Electronic Journal of Combinatorics
Size of Multipartitions through Level-Rank Duality
Abstract
We give short purely combinatorial proofs for certain formulae relating the size of an l-partition with the one of its e-quotient in the sense of Uglov. We deduce a way to compute the size of the e-core of multipartitions and the e-weight of a multipartition. All these multipartitions naturally appear in the context of level-rank duality for Ariki-Koike algebras and Cherednik algebras.
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BibTeX
@article{jacon2026size,
title = {{Size of Multipartitions through Level-Rank Duality}},
author = {Nicolas Jacon},
journal = {The Electronic Journal of Combinatorics},
year = {2026},
month = nov,
doi = {10.37236/14190},
url = {https://www.combinatorics.org/ojs/index.php/eljc/article/view/v33i4p34},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Size of Multipartitions through Level-Rank Duality
AU - Nicolas Jacon
PY - 2026
DA - 2026/11/06
JO - The Electronic Journal of Combinatorics
DO - 10.37236/14190
UR - https://www.combinatorics.org/ojs/index.php/eljc/article/view/v33i4p34
AB - We give short purely combinatorial proofs for certain formulae relating the size of an l-partition with the one of its e-quotient in the sense of Uglov. We deduce a way to compute the size of the e-core of multipartitions and the e-weight of a multipartition. All these multipartitions naturally appear in the context of level-rank duality for Ariki-Koike algebras and Cherednik algebras.
SN - 1077-8926
ER -