3 papers
math.DG2026
Generalizing Lusztig's total positivity II : geometric properties
Olivier Guichard, Anna Wienhard
Positive structures in Lie groups with respect to a subset of the set of positive roots provide a generalization of Lusztig's total positivity in split real Lie groups to the…
math.GR2025
Exotic subgroups of hyperbolic groups
Olivier Guichard
Gromov Hyperbolic groups have remarkable finiteness properties;for example those that are torsion-free are fundamental groups of finitecomplexes whose universal cover iscontractibl…
math.DG2024
Generalizing Lusztig's total positivity
Olivier Guichard, Anna Wienhard
We introduce the notion of -positivity in real simple Lie groups. This notion at the same time generalizes Lusztig's total positivity in split real Lie groups and invariant ord…