# Canonical bases arising from quantum symmetric pairs

@article{Bao2016CanonicalBA,
title={Canonical bases arising from quantum symmetric pairs},
author={Huanchen Bao and W. Wang},
journal={Inventiones mathematicae},
year={2016},
volume={213},
pages={1099-1177}
}
• Published 2016
• Mathematics, Physics
• Inventiones mathematicae
We develop a general theory of canonical bases for quantum symmetric pairs $$({\mathbf{U}}, {\mathbf{U}}^\imath )$$(U,Uı) with parameters of arbitrary finite type. We construct new canonical bases for the finite-dimensional simple $${\mathbf{U}}$$U-modules and their tensor products regarded as $${\mathbf{U}}^\imath$$Uı-modules. We also construct a canonical basis for the modified form of the $$\imath$$ıquantum group $${\mathbf{U}}^\imath$$Uı. To that end, we establish several new structural… Expand
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