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arXiv · 2006.08541

Majorization and Spherical Functions

Colin McSwiggen·Jonathan Novak
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Abstract

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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Colin McSwiggen, Jonathan Novak. 2020-06-15. Majorization and Spherical Functions. https://arxiv.org/abs/2006.08541

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