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Bibliographic Details
Main Authors: Gerrard, Allan John, Motegi, Kohei, Sakai, Kazumitsu
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2412.13561
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Table of Contents:
  • We introduce and investigate a class of $\mathfrak{gl}_{M+1}$ partition functions which is an extension of the one introduced by Foda-Manabe. We characterize the partition functions by a nested version of Izergin-Korepin analysis, and determine the explicit forms, for each of the rational, trigonometric and elliptic versions. The resulting multisymmetric functions can be regarded as extensions of the rational, trigonometric and elliptic weight functions.