2 citations · 3 across the 6 of their papers we have counts for
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Total positivity and symmetric spaces
Huanchen Bao
We define a notion of total positivity for the symmetric space by taking the Hausdorff closure of the image of Lusztig's totally positive part in . We introduce…
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…
A categorification of Hecke algebras with parameters 1 and v
Huanchen Bao
We categorify the Hecke algebra with parameters 1 and v using a variation of the category of Soergel bimodules.