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A Survey of Total Positivity |
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| Authors: | G Lusztig |
| Institution: | (1) Department of Mathematics, M.I.T., Cambridge, MA 02139, USA |
| Abstract: | This paper contains an exposition of the classical work of Schoenberg and Gantmacher, Krein on the theory of totally positive matrices. It also contains a generalization of this theory to the Lie theoretic context and an application to the recent results of Fock and Goncharov on Teichmüller theory. Leonardo da Vinci lecture held on May 28, 2007 Received: June 2007 |
| Keywords: | " target="_blank"> Totally positive matrix Perron’ s theorem Gantmacher-Krein theorem canonical basis quantum group Hitchin component convex curve |
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