[Publications][Nicolas Monod]

Gelfand pairs admit an Iwasawa decomposition

Every Gelfand pair (G,K) admits a decomposition G=KP, where P<G is an amenable subgroup. In particular, the Furstenberg boundary of G is homogeneous.
Applications include the complete classification of non-positively curved Gelfand pairs, relying on earlier joint work with Caprace, as well as a canonical family of pure spherical functions in the sense of Gelfand–Godement for general Gelfand pairs.

Author: N. Monod

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[Publications][Nicolas Monod]