Orbits of strongly solvable spherical subgroups on the flag variety |
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Authors: | Jacopo Gandini Guido Pezzini |
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Institution: | 1.Scuola Normale Superiore,Pisa,Italy;2.Dipartimento di Matematica Sapienza,Università di Roma,Roma,Italy |
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Abstract: | Let G be a connected reductive complex algebraic group and B a Borel subgroup of G. We consider a subgroup \(H \subset B\) which acts with finitely many orbits on the flag variety G / B, and we classify the H-orbits in G / B in terms of suitable root systems. As well, we study the Weyl group action defined by Knop on the set of H-orbits in G / B, and we give a combinatorial model for this action in terms of weight polytopes. |
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