Parabolic subgroup orbits on finite root systems |
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| Authors: | MJ Dyer GI Lehrer |
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| Institution: | 1. Department of Mathematics, 255 Hurley Building, University of Notre Dame, Notre Dame, IN 46556, USA;2. School of Mathematics and Statistics, University of Sydney, Sydney, NSW 2006, Australia |
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| Abstract: | Oshima's Lemma describes the orbits of parabolic subgroups of irreducible finite Weyl groups on crystallographic root systems. This note generalises that result to all root systems of finite Coxeter groups, and provides a self contained proof, independent of the representation theory of semisimple complex Lie algebras. |
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| Keywords: | Primary 20F55 secondary 17B22 |
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