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Totally nonnegative and oscillatory elements in semisimple groups

Sergey Fomin·Andrei Zelevinsky
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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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BibTeXRIS

Sergey Fomin, Andrei Zelevinsky. 1998-11-17. Totally nonnegative and oscillatory elements in semisimple groups. https://arxiv.org/abs/math/9811100

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