most citedA mathematical framework to study organising principles in graphical representations of biochemical processes

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math.GR2024

Profiniteness of higher rank volume

Holger Kammeyer, Steffen Kionke, Ralf Köhl

We show that the covolume of an irreducible lattice in a higher rank semisimple Lie group with the congruence subgroup property is determined by the profinite completion. Without r…

math.GR2024

Higher homotopy groups of topological Kac-Moody groups, Whitehead tower, and string groups

Ralf Köhl

This note establishes that homotopy groups of topological split real Kac-Moody groups are countable and, hence, concludes the existence of Whitehead towers consisting of topologica…

math.GR2024

The Siegel Modular Group is the Lattice of Minimal Covolume in the Symplectic Group

Amir Džambić, Kristian Holm, Ralf Köhl

Let . We prove that, up to conjugation, is the unique lattice in of the smallest covolume.

math.GR2023

Kac-Moody Symmetric Spaces: arbitrary symmetrizable complex or almost split real type

Ralf Köhl, Christian Vock

Kac-Moody symmetric spaces have been introduced by Freyn, Hartnick, Horn and the first-named author for centered Kac-Moody groups, that is, Kac-Moody groups that are generated by t…