Let G be a connected reductive complex algebraic group and B a Borel subgroup of G. We consider a subgroup H of 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.
Orbits of strongly solvable spherical subgroups on the flag variety / Pezzini, Guido; Gandini, Jacopo. - In: JOURNAL OF ALGEBRAIC COMBINATORICS. - ISSN 0925-9899. - STAMPA. - 47:3(2018), pp. 357-401. [https://doi.org/10.1007/s10801-017-0779-x]
Orbits of strongly solvable spherical subgroups on the flag variety
PEZZINI, Guido;
2018
Abstract
Let G be a connected reductive complex algebraic group and B a Borel subgroup of G. We consider a subgroup H of 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.| File | Dimensione | Formato | |
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