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Positivity of $\imath$-canonical bases

Published 4 Sep 2018 in math.QA and math.RT | (1809.01041v1)

Abstract: For the quantum symmetric pair $(\textbf{U}, \textbf{U}{\imath})$ of type AIII/AIV, we show various positivity properties of the $\imath$-canonical bases on finite-dimensional simple $\textbf{U}$-modules, as well as their tensor product.

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