Convex Geometries on Root Systems |
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| Authors: | Annette Pilkington |
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| Affiliation: | 1. Department of Mathematics , University of Notre Dame , Notre Dame, Indiana, USA Pilkington.4@nd.edu |
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| Abstract: | This article investigates several convex closure operators on a finite root system. It is shown that a natural closure operator on the positive root system of a finite Weyl group satisfies the anti-exchange condition for all root systems except type F 4. |
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| Keywords: | Convex geometries Coxeter groups Matroids Root systems |
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