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We develop a general theory of canonical bases for quantum symmetric pairs $(\mathbf{U}, \mathbf{U}^\imath)$ with parameters of arbitrary finite type.
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by same author, Quivers, perverse sheaves, and quantized enveloping algebras
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by same author, Canonical bases in tensor products
1992
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by same author, Crystal bases of modified quantized enveloping algebra
1994
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1999
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by same author, Coideal subalgebras and quantum symmetric pairs
2002
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by same author, Quantum symmetric pairs and their zonal spherical functions
2003
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G. Letzter, Quantum zonal spherical functions and Macdonald polynomials
2004
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X. He, A subalgebra of 0-Hecke algebra
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S. Kolb, Quantum symmetric Kac-Moody pairs
2014
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M. Balagovic and S. Kolb, The bar involution for quantum symmetric pairs
2015
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by same author, Universal K K -matrix for quantum symmetric pairs
2016
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by same author, Canonical bases in tensor products revisited
2016
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H. Bao, Kazhdan-Lusztig theory of super type D D and quantum symmetric pairs
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2009
Cited alongside, same era.
by same author, Introduction to Quantum Groups
2010
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H. Bao and W. Wang, A new approach to Kazhdan-Lusztig theory of type B B via quantum symmetric pairs
Cited in the paper.
2017
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Y. Li and W. Wang, Positivity vs negativity of canonical bases
2018
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