Orbits of strongly solvable spherical subgroups on the flag variety

被引：7
|
作者：
Gandini, Jacopo [1 ]
Pezzini, Guido [2 ]
机构：
[1] Scuola Normale Super Pisa, Piazza Cavalieri 7, I-56126 Pisa, Italy
[2] Univ Roma, Dipartimento Matemat Sapienza, Piazzale Aldo Moro 5, I-00185 Rome, Italy
来源：
JOURNAL OF ALGEBRAIC COMBINATORICS | 2018年 / 47卷 / 03期
关键词：
Strongly solvable spherical subgroups; Orbits of a Borel subgroup; Weight polytopes; COMPLEXITY; PROPERTY; SET;
D O I：
10.1007/s10801-017-0779-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let G be a connected reductive complex algebraic group and B a Borel subgroup of G. We consider a subgroup 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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页码：357 / 401
页数：45
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