对称对和分支定律

Indagationes Mathematicae Pub Date : 2024-03-15 DOI:10.1016/j.indag.2024.03.009

Paul-Émile Paradan

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引用次数: 0

摘要

假设是一个紧密相连的李群，假设是一个由内卷固定的子群。一个经典的结果保证了在的旗变上的-作用有有限个轨道。在本文中，我们提出了一个对称对的分支系数公式，其参数为 .

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Symmetric pairs and branching laws

Let be a compact connected Lie group and let be a subgroup fixed by an involution. A classical result assures that the -action on the flag variety of admits a finite number of orbits. In this article we propose a formula for the branching coefficients of the symmetric pair that is parametrized by .

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Indagationes Mathematicae

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