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We show the positivity of the canonical basis for a modified quantum affine $\mathfrak{sl}_n$ under the comultiplication.
1972
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D. Kazhdan and G. Lusztig, Representations of Coxeter groups and Hecke algebras
1979
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A. Beilinson, J. Bernstein and P. Deligne, Faisceaux pervers
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N. Jacobson, Basic algebra. I
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A. Beilinson, G. Lusztig and R. MacPherson, A geometric setting for quantum deformations of G L n GL_{n}
1990
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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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I. Grojnowski and G. Lusztig, On bases of irreducible representations of quantum G L n GL_{n}
1992
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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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G. Lusztig, Introduction to quantum groups
1993
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M. Kashiwara, Crystal bases of modified quantized enveloping algebra,
1994
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R. M. Green, Hyperoctahedral Schur algebras
1997
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G. Lusztig, Cells in affine Weyl groups and tensor categories,
1997
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G. Lusztig, Aperiodicity in quantum affine 𝔤 𝔩 n \mathfrak{gl}_{n} ,
1999
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J. Du and L. Scott, The q q -Schur 2 algebra
2000
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G. Lusztig Transfer maps for quantum affine 𝔰 𝔩 n \mathfrak{sl}_{n} ,
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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T. Braden, Hyperbolic localization of intersection cohomology
2003
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B. Deng, J. Du, B. Parshall and J. Wang, Finite dimensional algebras and quantum groups
2008
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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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J. Du and Q. Fu, Quantum affine 𝔤 𝔩 n \mathfrak{gl}_{n} via Hecke algebras
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Z. Fan, C. Lai, Y. Li, L. Luo, and W. Wang, in preparation
Cited in the paper.
Z. Fan and Y. Li, Geometric Schur duality of classical type, II
Cited in the paper.
C. Lai and L. Luo, An elementary construction of monomial bases of quantum affine 𝔤 𝔩 n \mathfrak{gl}_{n}
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