Totally nonnegative and oscillatory elements in semisimple groups
Representation Theory
2007-05-23 v1 Algebraic Geometry
Combinatorics
Rings and Algebras
Abstract
We generalize the well known characterizations of totally nonnegative and oscillatory matrices, due to F.R.Gantmacher, M.G.Krein, A.Whitney, C.Loewner, M.Gasca, and J.M.Pena to the case of an arbitrary complex semisimple Lie group.
Cite
@article{arxiv.math/9811100,
title = {Totally nonnegative and oscillatory elements in semisimple groups},
author = {Sergey Fomin and Andrei Zelevinsky},
journal= {arXiv preprint arXiv:math/9811100},
year = {2007}
}
Comments
10 pages