Symmetric pairs and branching laws

Paul-Emile Paradan (1)

1 IMAG - Institut Montpelliérain Alexander Grothendieck

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\F .

Mots clés: Branching laws; Symmetric spaces; Non-abelian localization

Domaines: Théorie des représentations [math.RT]; Géométrie différentielle [math.DG]

Paul-Emile Paradan. Symmetric pairs and branching laws. 2018. ⟨hal-01818302v2⟩