Double Flag Varieties and Representations of Quivers
Representation Theory
2021-06-29 v2
Abstract
We gave a classification of P and Q with a finite number of K-orbits of a double flag variety G/P*K/Q for a symmetric pair (G, K) when G=GL_{m+n} and K=GL_{m}*GL_{n}, and a description of K-orbits when the number of K-orbits of G/P*K/Q is finite. We solved the problem by providing a correspondence between the K-orbits and the quiver representations.
Cite
@article{arxiv.2103.14509,
title = {Double Flag Varieties and Representations of Quivers},
author = {Hiroki Homma},
journal= {arXiv preprint arXiv:2103.14509},
year = {2021}
}
Comments
20 pages, typos corrected