Multiple Flag Varieties of Finite Type
代数几何
2016-09-07 v1
摘要
We classify all products of flag varieties with finitely many orbits under the diagonal action of the general linear group. We also classify the orbits in each case and construct explicit representatives. This generalizes the classical Schubert decompostion, which states that the GL(n)-orbits on a product of two flag varieties correspond to permutations. Our main tool is the theory of quiver representations.
引用
@article{arxiv.math/9805067,
title = {Multiple Flag Varieties of Finite Type},
author = {Peter Magyar and Jerzy Weyman and Andrei Zelevinsky},
journal= {arXiv preprint arXiv:math/9805067},
year = {2016}
}
备注
18pp. to appear in Adv. Math