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.
J. Gandini, G.P. (2018). Orbits of strongly solvable spherical subgroups on the flag variety. JOURNAL OF ALGEBRAIC COMBINATORICS, 47(3), 357-401 [10.1007/s10801-017-0779-x].
Orbits of strongly solvable spherical subgroups on the flag variety
J. Gandini;
2018
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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