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We generalize a construction in [BW18] (arXiv:1610.09271) by showing that the tensor product of a based $\textbf{U}^{\imath}$-module and a based $\textbf{U}$-module is a based $\textbf{U}^{\imath}$-module.
G. Lusztig, Canonical bases in tensor products
1992
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G. Letzter, Symmetric pairs for quantized enveloping algebras
1999
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J. Brundan, Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra 𝔤 𝔩 ( m | n ) \mathfrak{gl}(m|n)
2003
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G. Lusztig, Introduction to Quantum Groups
2010
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S.-J. Cheng, N. Lam and W. Wang, Super duality and irreducible characters of ortho-symplectic Lie superalgebras
2011
Cited alongside, same era.
S.-J. Cheng, N. Lam and W. Wang, Brundan-Kazhdan-Lusztig conjecture for general linear Lie superalgebras
2015
Cited alongside, same era.
H. Bao, Kazhdan-Lusztig theory of super type D D and quantum symmetric pairs
2017
Cited alongside, same era.
S. Kolb, Braided module categories via quantum symmetric pairs
Cited in the paper.
H. Bao and W. Wang, A new approach to Kazhdan-Lusztig theory of type B B via quantum symmetric pairs
2018
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by same author, Canonical bases arising from quantum symmetric pairs
2018
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M. Balagovic and S. Kolb, Universal K K -matrix for quantum symmetric pairs
2019
Closest in time.
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