Intermediate symplectic characters and shifted plane partitions of shifted double staircase shape
نویسندگان
چکیده
We use intermediate symplectic characters to give a proof and variations of Hopkins' conjecture, now proved by Hopkins Lai, on the number shifted plane partitions double staircase shape with bounded entries. In fact, we prove some character identities involving characters, find generating functions for such partitions. The key ingredients are bialternant formula which interpolates between those Schur Ishikawa--Wakayama minor-summation formula.Keywords: Intermediate partitions, formula, Pfaffian .Mathematics Subject Classifications: 05A15, 05E05, 05E10
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ژورنال
عنوان ژورنال: Combinatorial theory
سال: 2021
ISSN: ['2766-1334']
DOI: https://doi.org/10.5070/c61055372