Semigroups in semi-simple Lie groups: Flag type and estimation of cocycles
Rings and Algebras
2025-02-18 v1
Abstract
The flag type of a semigroup S of a noncompact semisimple Lie group is an algebraic tool related to the geometry of the invariant control set determined by S on the flag manifolds of G. In the present paper we show that it is possible to recover the flag type by studying the existence of lower bounds for cocycles on the maximal flag manifold
Cite
@article{arxiv.2502.10393,
title = {Semigroups in semi-simple Lie groups: Flag type and estimation of cocycles},
author = {Adriano Da Silva and Luiz A. B. San Martin and Joao Victor Uzita},
journal= {arXiv preprint arXiv:2502.10393},
year = {2025}
}