Totally nonnegative and oscillatory elements in semisimple groups

Sergey Fomin, Andrei Zelevinsky

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Source: Crossref

Published: Jun 7, 2000

DOI: 10.1090/s0002-9939-00-05487-3

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Source 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. Peña to the case of an arbitrary complex semisimple Lie group.

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