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We consider tensor products of finite-dimensional representations of a coideal subalgebra in $U_{q}(\mathfrak{sl}_2)$.
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I. B. Frenkel and M. G. Khovanov, Canonical bases in tensor products and graphical calculus for U q ( 𝔰 𝔩 2 ) {U}_{q}(\mathfrak{sl}_{2}) , Duke Math. J. 87
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by same author, Canonical bases in tensor products revisited , preprint (2014), arXiv:1403.0039
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S. Kolb, Quantum symmetric Kac–Moody pairs , Adv. Math. 267
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