2 papers
math.RT2026
Total positivity in twisted flag varieties
Xuhua He, Kaitao Xie
Let be a Kac-Moody group, split over . The totally nonnegative part of and its (ordinary) flag variety was introduced by Lusztig. It is known that the to…
math.RT2024
Theta Positivity in Lagrangian Grassmannian
Kaitao Xie
We study the theta nonnegative part of Lagrangian Grassmannian. We show that it admits an orbital decomposition and is homeomorphic to a closed ball. We compare it with other posit…