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math.RT1998
Totally nonnegative and oscillatory elements in semisimple groups
Sergey Fomin, Andrei Zelevinsky
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…
math.RT1998
Double Bruhat cells and total positivity
Sergey Fomin, Andrei Zelevinsky
We study intersections of opposite Bruhat cells in a semisimple complex Lie group, and associated totally nonnegative varieties.