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A path model for geodesics in Euclidean buildings and its applications to representation theory
path model for geodesics Euclidean buildings representation theory
2015/10/14
In this paper we give a combinatorial characterization of projections ofgeodesics in Euclidean buildings to Weyl chambers. We apply these results to the representation theory of complex reductive Lie ...
This survey is a brief introduction to the theory of hyperbolic buildings and their lattices, with a focus on recent results.
Groups acting simply transitively on hyperbolic buildings
Groups hyperbolic buildings Group Theory
2011/9/14
Abstract: We construct and classify all groups acting simply transitively on vertices of hyperbolic triangular buildings of the smallest non-trivial thickness. We have both torsion and torsion free gr...
Infinite generation of non-cocompact lattices on right-angled buildings
Infinite generation non-cocompact lattices right-angled buildings
2010/12/9
Let be a non-cocompact lattice on a locally finite regular right-angled building X. We prove that if has a strict fundamental domain then is not finitely generated. We...