Totally nonnegative and oscillatory elements in semisimple groups

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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.
10 pages

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Representation Theory, Algebraic Geometry, Combinatorics, Rings and Algebras, 22E46 (Primary); 14M15, 15A48, 20F55 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/77724

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9811100
 http://arxiv.org/abs/math/9811100

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arXiv