New partition identities from \(C^{(1)}_\ell\)-modules

IF 0.5 4区数学 Q3 MATHEMATICS

Glasnik Matematicki Pub Date : 2022-12-30 DOI:10.3336/gm.57.2.01

S. Capparelli, A. Meurman, Andrej Primc, M. Primc

引用次数: 3

Abstract

In this paper we conjecture combinatorial Rogers-Ramanujan type colored partition identities related to standard representations of the affine Lie algebra of type \(C^{(1)}_\ell\), \(\ell\geq2\), and we conjecture similar colored partition identities with no obvious connection to representation theory of affine Lie algebras.

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来自\(C^{(1)}_\ell\) -modules的新分区标识

本文推测了与类型为\(C^{(1)}_\ell\), \(\ell\geq2\)的仿射李代数的标准表示相关的组合Rogers-Ramanu-jan型彩色划分恒等式，并推测了与仿射李代数的表示理论没有明显联系的类似的彩色划分恒等式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Glasnik Matematicki MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Glasnik Matematicki publishes original research papers from all fields of pure and applied mathematics. The journal is published semiannually, in June and in December.