Categorification of integrable representations of quantum groups

L. Illusie, Complexe cotangent et déformations I,II, Lecture Notes in Mathematics, vol. 239,283, Springer-Verlag, Berlin, 1971,1972

1972

Earlier work this paper cites.

A. Beilinson, J. Bernstein and P. Deligne, Faisceaux pervers, Astérisque 100 (1982)

1982

Earlier work this paper cites.

G. Lusztig, Character sheaves I, Adv. Math. 56 (1985), 193–237

1985

Earlier work this paper cites.

M. Kashiwara and P. Schapira, Sheaves on Manifolds, Grundlehren der math. Wiss., vol. 292, Springer, 1990

1990

Earlier work this paper cites.

G. Lusztig, Canonical bases arising from quantized enveloping algebras, J. Amer. Math. Soc. 3 (1990), no. 2, 447–498

1990

Earlier work this paper cites.

M. Kashiwara, On crystal bases of the q q -analogue of universal enveloping algebras, Duke Math. J. 63 (1991), 465–516

1991

Earlier work this paper cites.

G. Lusztig, Quivers, perverse sheaves, and quantized enveloping algebras, J. Amer. Math. Soc. 4 (1991), no. 2, 365–421

1991

Earlier work this paper cites.

R. Joshua, The intersection cohomology and the derived category of algebraic stacks, in: Algebraic K-Theory and Algebraic Topology, NATO ASI Series C, vol. 407, pp. 91–145, Kluwer Academic, Dordrecht, 1993

1993

Earlier work this paper cites.

G. Lusztig, Introduction to Quantum Groups, Progress in Math., vol. 110, Birkhäuser, Boston, 1993

1993

Earlier work this paper cites.

J. Bernstein and V. Lunts, Equivariant sheaves and functors, Lecture Notes in Mathematics, vol. 1578, Springer-Verlag, New York, Berlin, 1994

1994

Cited alongside, same era.

S. I. Gelfand and Yu. I. Manin, Homological algebra, Springer, Berlin, Heidelberg, 1994

1994

Cited alongside, same era.

H. Nakajima, Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras, Duke Math. J. 76 (1994), no. 2, 365–416

1994

Cited alongside, same era.

M. Kashiwara and Y. Saito, Geometric construction of crystal bases, Duke Math. J. 89 (1997), no. 1, 9–36

1997

Cited alongside, same era.

H. Nakajima, Quiver varieties and Kac-Moody algebras, Duke Math. J. 91 (1998), no. 3, 515–560

1998

Cited alongside, same era.

Y. Saito, Crystal bases and quiver varieties, Math. Ann. 324 (2002), no. 4, 675–688

2002

Later among the works it cites.

A. Malkin, Tensor product varieties and crystals: the A ​ D ​ E ADE case, Duke Math. J. 116 (2003), no. 3, 477–524

2003

Later among the works it cites.

I. Waschkies, The stack of microlocal perverse sheaves, Bull. Soc. Math. France 132 (2004), 397–462

2004

Later among the works it cites.

A. Savage, A geometric construction of crystal graphs using quiver varieties: extension to the non-simply laced case, in: Infinite-dimensional aspects of representation theory and applications, Contemp. Math., vol. 392, pp. 133–154, Amer. Math. Soc., Providence, RI, 2005

2005

Later among the works it cites.

I. Frenkel, M. Khovanov and C. Stroppel, A categorification of finite-dimensional irreducible representations of quantum s ​ l 2 sl_{2} and their tensor products, Selecta Math. (N.S.) 12 (2006), no. 3-4, 379–431