On the Mathieu conjecture for Sp(N) and G2

IF 1.2 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Journal of Mathematical Physics Pub Date : 2024-07-08 DOI:10.1063/5.0206983

Kevin Zwart

引用次数: 0

Abstract

As a direct continuation of Zwart [J. Math. Phys. 64(10), 101701 (2023)], which is built on the work of Müger and Tuset [Indagationes Math. 35(1), 114 (2024)], we reduce the Mathieu conjecture, formulated by Mathieu [Algèbra Non Commutative, Groupes Quantiques et Invariants, edited by Alex, J. and Cauchon, G. (Société Mathématique de France, Reims, 1997), Vol. 2, pp. 263–279], for Sp(N) and G2 to a conjecture involving functions over Rn×(S1)m with n,m∈N0. The proofs rely on Euler-style parametrizations of these groups, a specific version of the KAK decomposition, which we discuss and prove.

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关于 Sp(N) 和 G2 的马蒂厄猜想

作为 Zwart [J. Math. Phys. 64(10), 101701 (2023)]在 Müger 和 Tuset [Indagationes Math. 35(1), 114 (2024)]工作基础上的直接延续，我们将 Mathieu [Algèbra Non Commutative, Groupes Quantiques et Invariants, edited by Alex, J. and Cauchon, G. (Société Mathématique de France, Reims, 1997, Vol. 2, pp.and Cauchon, G. (Société Mathématique de France, Reims, 1997), Vol. 2, pp.证明依赖于这些群的欧拉式参数化，即 KAK 分解的一个特定版本，我们对其进行了讨论和证明。

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

Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

2.20

自引率

15.40%

发文量

396

审稿时长

4.3 months

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