Let G be a connected reductive complex algebraic group and B a Borel subgroup of G. We consider a subgroup (Formula presented.) 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
Gandini, JacopoCo-primo
;
2018-01-01
Abstract
Let G be a connected reductive complex algebraic group and B a Borel subgroup of G. We consider a subgroup (Formula presented.) 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 in questo prodotto:
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