Turkish Journal of Mathematics
Abstract
In this paper, we study the existence of a dense orbit for the diagonal [[EQUATION]] action on self-products of partial flag varieties. We determine when there exists a dense orbit for flag varieties of the form [[EQUATION]] when [[EQUATION]] or when [[EQUATION]] and [[EQUATION]] for some [[EQUATION]]. We also show that certain infinite families of products do not have a dense orbit.
DOI
10.55730/1300-0098.3679
Keywords
Flag varieties, $\PGL(n)$-actions, dense orbits
First Page
746
Last Page
763
Publisher
The Scientific and Technological Research Council of Türkiye (TÜBİTAK)
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
COŞKUN, I, & GÜNDÜZ, A (2026). PGL orbits on products of flag varieties. Turkish Journal of Mathematics 50 (4): 746-763. https://doi.org/10.55730/1300-0098.3679
