2 citations · 3 across the 4 of their papers we have counts for
8 papers
Product structure and regularity theorem for totally nonnegative flag varieties
Huanchen Bao, Xuhua He
The totally nonnegative flag variety was introduced by Lusztig. It has enriched combinatorial, geometric, and Lie-theoretic structures. In this paper, we introduce a (new) -tota…
A Birkhoff-Bruhat Atlas for partial flag varieties
Huanchen Bao, Xuhua He
A partial flag variety of a Kac-Moody group has a natural stratification into projected Richardson varieties. When is a connected reductive group, a Bruh…
Flag manifolds over semifields
Huanchen Bao, Xuhua He
In this paper, we develop the theory of flag manifold over a semifield for any Kac-Moody root datum. We show that the flag manifold over a semifield admits a natural action of the…
Quantum symmetric pairs at roots of
Huanchen Bao, Thomas sale
A quantum symmetric pair is a quantization of the symmetric pair of universal enveloping algebras. Recent development suggests that most of the theory for quantum groups can be gen…
The m=2 amplituhedron
Huanchen Bao, Xuhua He
The (tree) amplituhedron is introduced by Arkani-Hamed and Trnka in 2013 in the study of supersymmetric Yang-Mills theory. It is defined in…
Positivity of -canonical bases
Huanchen Bao
For the quantum symmetric pair of type AIII/AIV, we show various positivity properties of the -canonical bases on finite-dimensional sim…