Symmetric pairs and branching laws

2018/06/20 by Paradan, Paul-Emile
#Differential Geometry (math.DG) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1806.07642

Abstract

Let G be a compact connected Lie group and let H be a subgroup fixed by an involution. A classical result assures that the action of the complex reductive group H_C on the flag variety F of G admits a finite number of orbits. In this article we propose a formula for the branching coefficients of the symmetric pair (G,H) that is parametrized by H_C\backslash F.

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