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This paper contains a categorification of the sl(k) link invariant using parabolic singular blocks of category O.
A certain category of 𝔤 {\mathfrak{g}} -modules
I. N. Bernstein, I. M. Gel ′ · 1976
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Tensor products of finite- and infinite-dimensional representations of semisimple Lie algebras
J. N. Bernstein and S. I. Gel ′ · 1980
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Einhüllende Algebren halbeinfacher Lie-Algebren
J. C. Jantzen · 1983
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Categories of highest weight modules: applications to classical Hermitian symmetric pairs
T. J. Enright and B. Shelton · 1987
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Kategorie 𝒪 {\mathcal{O}} , perverse Garben und Moduln über den Koinvarianten zur Weylgruppe
W. Soergel · 1990
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Quantum groups
C. Kassel · 1995
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Koszul duality patterns in representation theory
A. Beilinson, V. Ginzburg, and W. Soergel · 1996
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Lectures on quantum groups
J. C. Jantzen · 1996
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Canonical bases in tensor products and graphical calculus for U q ( 𝔰 𝔩 2 ) U_{q}({\mathfrak{sl}_{2}})
I. B. Frenkel and M. G. Khovanov · 1997
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Kazhdan-Lusztig polynomials and a combinatorics for tilting modules
W. Soergel · 1997
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Kazhdan-Lusztig polynomials and canonical basis
I. B. Frenkel, M. G. Khovanov, and A. A. Kirillov, Jr · 1998
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Homfly polynomial via an invariant of colored plane graphs
H. Murakami, T. Ohtsuki, and S. Yamada · 1998
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A categorification of the Temperley-Lieb algebra and Schur quotients of U ( 𝔰 𝔩 2 CLOSE U(\mathfrak{sl}_{2} ) via projective and Zuckerman functors
J. Bernstein, I. Frenkel, and M. Khovanov · 1999
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Murphy bases of generalized Temperley-Lieb algebras
M. Härterich · 1999
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Twisting functors on 𝒪 \mathcal{O}
H. H. Andersen and C. Stroppel · 2003
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Category 𝒪 \mathcal{O} : Gradings and Translation functors
C. Stroppel · 2003
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Categorification of the Temperley-Lieb category, tangles, and cobordisms via projective functors
C. Stroppel · 2005
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Dual canonical bases and Kazhdan-Lusztig polynomials
J. Brundan · 2006
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Symmetric functions, parabolic Category 𝒪 \mathcal{O} and the Springer fiber
J. Brundan · 2006
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A categorification of finite-dimensional irreducible representations of quantum 𝔰 𝔩 2 \mathfrak{sl}_{2} and their tensor products
I. Frenkel, M. Khovanov, and C. Stroppel · 2006
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Quadratic duals, Koszul dual functors and applications
V. Mazorchuk, S. Ovsienko, and C. Stroppel · 2006
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Perverse sheaves on Grassmannians, Springer fibres and Khovanov homology
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sl(3) link homology
M. Khovanov · 2004
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Higher operads, higher categories
T. Leinster · 2004
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Matrix factorizations and link homology
L. Rozansky M. Khovanov · 2004
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Translation and shuffling of projectively presentable modules and a categorification of a parabolic Hecke module
V. Mazorchuk and C. Stroppel · 2005
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C. Stroppel · 2006
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Sl(n) link homology using foams and the Kapustin-Li formula
M. Mackaay, M. Stosic, and P. Vaz · 2007
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The universal sl3-link homology
M. Mackaay and P. Vaz · 2007
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On functors associated to a simple root
V. Mazorchuk and C. Stroppel · 2007
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Category 𝒪 \mathcal{O} and sl(k) link invariants
J. Sussan · 2007
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