Huanchen Bao

activity

20132026

most citedA new approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs

132 citations · 294 across the 20 of their papers we have counts for

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6 papers · 1 filter

math.QA2019★ 1 cited

Quantum symmetric pairs at roots of $1$

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…

math.QA2018★ 15 cited

Canonical bases arising from quantum symmetric pairs of Kac-Moody type

Huanchen Bao, Weiqiang Wang

For quantum symmetric pairs $(U, U^{})$ of Kac-Moody type, we construct $$ canonical bases for the highest weight integrable $U$ -modules and the…

math.QA2018

Positivity of $$ -canonical bases

Huanchen Bao

For the quantum symmetric pair $(U, U^{})$ of type AIII/AIV, we show various positivity properties of the $$ -canonical bases on finite-dimensional sim…

math.QA2018★ 103 cited

Canonical bases for tensor products and super Kazhdan-Lusztig theory

Huanchen Bao, Weiqiang Wang, Hideya Watanabe

We generalize a construction in [BW18] (arXiv:1610.09271) by showing that the tensor product of a based $U^{}$ -module and a based $U$ -module is a based $\te…

math.QA2016★ 4 cited

Canonical bases arising from quantum symmetric pairs

Huanchen Bao, Weiqiang Wang

We develop a general theory of canonical bases for quantum symmetric pairs $(U, U^{})$ with parameters of arbitrary finite type. We construct new canonical ba…

math.QA2016★ 1 cited

Multiparameter quantum Schur duality of type B