Fetching the paper…
Reading the bibliography…
In the framework of canonical and dual canonical bases of Fock spaces, Brundan in 2003 formulated a Kazhdan-Lusztig type conjecture for the characters of the irreducible and tilting modules in the BGG category for the general linear Lie superalgebra for the first time.
V. Kac, Lie superalgebras
1977
Earlier work this paper cites.
V. Kac, Representations of classical Lie superalgebras
1978
Earlier work this paper cites.
D. Kazhdan and G. Lusztig, Representations of Coxeter groups and Hecke algebras
1979
Earlier work this paper cites.
D. Vogan, Irreducible characters of semisimple Lie Groups II: The Kazhdan-Lusztig Conjectures
1979
Earlier work this paper cites.
D. Kazhdan and G. Lusztig, Schubert varieties and Poincaré duality
1980
Earlier work this paper cites.
A. Beilinson and J. Bernstein, Localisation de 𝔤 \mathfrak{g} -modules
1981
Earlier work this paper cites.
J.L. Brylinski and M. Kashiwara, Kazhdan-Lusztig conjecture and holonomic systems
1981
Earlier work this paper cites.
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
1986
Earlier work this paper cites.
V. Deodhar, On some geometric aspects of Bruhat orderings II: the parabolic analogue of Kazhdan-Lusztig polynomials
1987
Earlier work this paper cites.
I. Penkov and V. Serganova, Cohomology of G / P G/P for classical complex Lie supergroups G G and characters of some atypical G G -modules
1989
Earlier work this paper cites.
G. Lusztig, Canonical bases arising from quantized enveloping algebras
1990
Earlier work this paper cites.
M. Kashiwara, On crystal bases of the Q Q -analogue of universal enveloping algebras
1991
Earlier work this paper cites.
S. Donkin, On tilting modules for algebraic groups
1993
Cited alongside, same era.
M. Kashiwara, T. Miwa, and E. Stern, Decomposition of q q -deformed Fock spaces
1995
Cited alongside, same era.
A. Beilinson, V. Ginzburg, and W. Soergel, Koszul Duality Patterns in Representation Theory
1996
Cited alongside, same era.
J. C. Jantzen, Lectures on Quantum Groups
1996
Cited alongside, same era.
V. Serganova, Kazhdan-Lusztig polynomials and character formula for the Lie superalgebra 𝔤 𝔩 ( m | n ) \mathfrak{g}\mathfrak{l}(m|n)
1996
Cited alongside, same era.
W. Soergel, Kazhda-Lusztig polynomnials and a combinatoric for tilting modules
1997
Cited alongside, same era.
J. Brundan, Dual canonical bases and Kazhdan-Lusztig polynomials
2006
Later among the works it cites.
J. Kujawa, Crystal structures arising from representations of G L ( m | n ) GL(m|n)
2006
Later among the works it cites.
S.-J. Cheng and W. Wang, Brundan-Kazhdan-Lusztig and super duality conjectures
2008
Later among the works it cites.
S.-J. Cheng, W. Wang and R.B. Zhang, Super duality and Kazhdan-Lusztig polynomials
2008
Later among the works it cites.
H. Zheng, Categorification of integrable representations of quantum groups
2008
Later among the works it cites.
S.-J. Cheng and N. Lam, Irreducible characters of the general linear superalgebra and super duality
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
W. Soergel, Character formulas for tilting modules over Kac-Moody algebras
1998
Cited alongside, same era.
E. Backelin, Koszul duality for parabolic and singular category 𝒪 \mathcal{O}
1999
Cited alongside, same era.
V. Kac and M. Wakimoto, Integrable highest weight modules over affine superalgebras and Appell’s function
2001
Cited alongside, same era.
J. Brundan, Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra 𝔤 𝔩 ( m | n ) {\mathfrak{gl}}(m|n)
2003
Cited alongside, same era.
J. Brundan, Tilting Modules for Lie superalgebras
2004
Cited alongside, same era.
J. Brundan, Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra 𝔮 ( n ) {\mathfrak{q}}(n)
2004
Cited alongside, same era.
2010
Later among the works it cites.
G. Lusztig, Introduction to quantum groups
2010
Later among the works it cites.
S.-J. Cheng, N. Lam and W. Wang, Super duality and irreducible characters of ortho-symplectic Lie superalgebras
2011
Later among the works it cites.
J. Brundan and C. Stroppel, Highest weight categories arising from Khovanov’s diagram algebra IV: the general linear supergroup
2012
Closest in time.
S.-J. Cheng, N. Lam and W. Wang, Super duality for general linear Lie superalgebras and applications
2012
Closest in time.
S.-J. Cheng and W. Wang, Dualities and Representations of Lie Superalgebras
2012
Closest in time.