多数化和球面函数

arXiv: Representation Theory Pub Date : 2020-06-15 DOI:10.1093/IMRN/RNAA390

Colin S. McSwiggen, Jonathan Novak

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引用次数: 3

摘要

多数化是实向量上的偏序，它在从代数、组合学到概率论和统计学的许多学科中都起着重要的作用。本文考虑了任意根$\ φ，$的多数化的广义概念，并证明了它在任意有限制根$\ φ，$的黎曼对称空间上的球函数值的自然表征

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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Majorization and Spherical Functions

Majorization is a partial order on real vectors which plays an important role in a variety of subjects, ranging from algebra and combinatorics to probability and statistics. In this paper, we consider a generalized notion of majorization associated to an arbitrary root system $\Phi,$ and show that it admits a natural characterization in terms of the values of spherical functions on any Riemannian symmetric space with restricted root system $\Phi.$

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arXiv: Representation Theory

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