Totally nonnegative and oscillatory elements in semisimple groups
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- by Sergey Fomin and Andrei Zelevinsky PDF
- Proc. Amer. Math. Soc. 128 (2000), 3749-3759
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.References
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Additional Information
- Sergey Fomin
- Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
- Address at time of publication: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109
- MR Author ID: 230455
- ORCID: 0000-0002-4714-6141
- Email: fomin@math.mit.edu, fomin@math.lsa.umich.edu
- Andrei Zelevinsky
- Affiliation: Department of Mathematics, Northeastern University, Boston, Massachusetts 02115
- Email: andrei@neu.edu
- Received by editor(s): November 18, 1998
- Received by editor(s) in revised form: February 26, 1999
- Published electronically: June 7, 2000
- Additional Notes: The authors were supported in part by NSF grants #DMS-9625511 and #DMS-9700927
- Communicated by: John R. Stembridge
- © Copyright 2000 Sergey Fomin and Andrei Zelevinsky
- Journal: Proc. Amer. Math. Soc. 128 (2000), 3749-3759
- MSC (2000): Primary 22E46; Secondary 14M15, 15A48, 20F55
- DOI: https://doi.org/10.1090/S0002-9939-00-05487-3
- MathSciNet review: 1694341