Totally nonnegative and oscillatory elements in semisimple groups
Sergey Fomin, Andrei Zelevinsky
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.
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