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math.RT2022
Symmetric subgroup schemes, Frobenius splittings, and quantum symmetric pairs
Huanchen Bao, Jinfeng Song
Let be a connected reductive algebraic group over an algebraically closed field of characteristic . Let be a quasi-split symmetric subgroup of $…
math.RT2022
Total positivity in twisted product of flag varieties
Huanchen Bao, Xuhua He
We show that the totally nonnegative part of the twisted product of flag varieties of a Kac-Moody group admits a cellular decomposition, and the closure of each cell is a topologic…
math.RT2022
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…