Members & Former Members

M.Sc. Paul Zellhofer

Doctoral student

Christian-Albrechts-Universität zu Kiel

E-mail: zellhofer(at)


61At infinity of symmetric spaces

Publications within SPP2026

We prove an analogue of Kostant's convexity theorem for split real and complex Kac-Moody groups associated to free and cofree root data. The result can be seen as a first step towards describing the multiplication map in a Kac-Moody group in terms of Iwasawa coordinates. Our method involves a detailed analysis of the geometry of Weyl group orbits in the Cartan subalgebra of a real Kac-Moody algebra. It provides an alternative proof of Kostant convexity for semisimple Lie groups and also generalizes a linear analogue of Kostant's theorem for Kac-Moody algebras that has been established by Kac and Peterson in 1984.


Related project(s):
61At infinity of symmetric spaces

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