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This is a generalization of the classic work of Beilinson, Lusztig and MacPherson.
1972
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D. Kazhdan and G. Lusztig, Representations of Coxeter groups and Hecke algebras
1979
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D. Kazhdan and G. Lusztig, Schubert varieties and Poincaré duality
1980
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M. Jimbo, A q q -analogue of U ( 𝔤 𝔩 ( N + 1 ) ) U({\mathfrak{g}\mathfrak{l}}(N+1)) , Hecke algebra, and the Yang-Baxter equation
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V. Drinfeld, Quantum groups
1988
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A. Beilinson, G. Lusztig and R. McPherson, A geometric setting for the quantum deformation of G L n GL_{n}
1990
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G. Lusztig, Canonical bases arising from quantized enveloping algebras
1990
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M. Kashiwara, On crystal bases of the Q Q -analogue of universal enveloping algebras
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J. Du, Kazhdan-Lusztig bases and isomorphism theorems for q q -Schur algebras
1992
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I. Grojnowski and G. Lusztig, On bases of irreducible representations of quantum G L n GL_{n}
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V. Ginzburg and E. Vasserot, Langlands reciprocity for affine quantum groups of type A n A_{n}
1993
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H. Nakajima, Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras
1994
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A. Beilinson, V. Ginzburg, and W. Soergel, Koszul duality patterns in representation theory
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R.M. Green, Hyperoctahedral Schur algebras
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S. Billey, Pattern avoidance and rational smoothness of Schubert varieties
1998
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G. Lusztig, Aperiodicity in quantum affine 𝔤 𝔩 n \mathfrak{gl}_{n}
1999
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W. Wang, Lagrangian construction of the ( g l n , g l m ) (gl_{n},gl_{m}) -duality
2001
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G. Letzter, Coideal subalgebras and quantum symmetric pairs
2002
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B. Deng, J. Du, B. Parshall and J. Wang, Finite dimensional algebras and quantum groups
2008
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G. Pouchin, A geometric Schur-Weyl duality for quotients of affine Hecke algebras,
2009
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M. Khovanov and A. Lauda, A categorification of quantum 𝔰 𝔩 ( n ) \mathfrak{sl}(n)
2010
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G. Lusztig, Introduction to Quantum Groups
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M. Varagnolo and E. Vasserot, On the decomposition matrices of the quantized Schur algebra
1999
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S. Billey and V. Lakshmibai, Singular loci of Schubert varieties
2000
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O. Schiffmann and E. Vasserot, Geometric construction of the global base of the quantum modified algebra of 𝔤 𝔩 ^ n \widehat{\mathfrak{gl}}_{n}
2000
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H. Bao and W. Wang, A new approach to Kazhdan-Lusztig theory of type B B via quantum symmetric pairs
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Cited in the paper.
K. McGerty, On the geometric realization of the inner product and canonical basis for quantum affine 𝔰 𝔩 n \mathfrak{sl}_{n}
2012
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S. Kolb, Quantum symmetric Kac-Moody pairs
2014
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Z. Fan and Y. Li, Geometric Schur duality of classical type, II
2015
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