Categorifications from planar diagrammatics

J. Brundan and A. Kleshchev, Graded decomposition numbers for cyclotomic Hecke algebras, Advances in Math. 222

Original

1942

Earlier work this paper cites.

D. M. Kan. Adjoint functors, Trans. of the AMS 87

1958

Earlier work this paper cites.

V. Mazorchuk and C. Stroppel, A combinatorial approach to functorial quantum sl(k) knot invariants, AJM

Original

1971

Earlier work this paper cites.

L. Geissinger, Hopf algebras of symmetric functions and class functions, in Combinatoire et représentation du groupe symétrique, Lect. Notes in Math. , 579, 168-181, Springer-Verlag, 1977

1977

Earlier work this paper cites.

J. Bernstein and S. Gelfand, Tensor product of finite and infinite dimensional representations of semisimple Lie algebras, Comp. Math. 41

1980

Earlier work this paper cites.

A. Zelevinsky, Induced representations of reductive p-adic groups. II On irreducible representations of GL ⁡ ( n ) {\rm GL}(n) , Annales sci. E.N.S. , Sér. 4, 13

Original

1980

Earlier work this paper cites.

A. Zelevinsky, Representations of finite classical groups, Lect. Notes in Math. 869

1981

Earlier work this paper cites.

G. Lusztig, Canonical bases arising from quantized enveloping algebras, J. Amer. Math. Soc

1990

Earlier work this paper cites.

C. M. Ringel, Hall algebras and quantum groups, Invent. math. 101

1990

Earlier work this paper cites.

A. Joyal and R. Street, The geometry of tensor calculus, I, Adv. Math. 88

1991

Earlier work this paper cites.

M. Kashiwara, On crystal bases of the Q Q -analogue of universal enveloping algebras, Duke Math. J

1991

Earlier work this paper cites.

I. Grojnowski and G. Lusztig, On bases of irreducible representations of quantum G ​ L n GL_{n} , in Kazhdan-Lusztig theory and related topics (Chicago, IL, 1989), Contemp. Math. , 1992, 167-174

1992

Earlier work this paper cites.

W. Soergel, The combinatorics of Harish-Chandra bimodules, Journal Reine Angew. Math. 429

1992

Cited alongside, same era.

G. Lusztig, Introduction to quantum groups, Birkhauser, 1993

1993

Cited alongside, same era.

L. Crane and I. B. Frenkel, Four-dimensional topological quantum field theory, Hopf categories and the canonical bases, J. Math. Phys. 35

1994

Cited alongside, same era.

H. Nakajima, Instantons on ALE spaces, quiver varieties and Kac-Moody algebras, Duke Math. J. 76

1994

Cited alongside, same era.

S. Ariki, On the decomposition numbers of the Hecke algebra of G ⁡ ( m , 1 , n ) G(m,1,n) . J. Math. Kyoto Univ

1996

Cited alongside, same era.

M. Khovanov and R. Thomas, Braid cobordisms, triangulated categories, and flag varieties, Homology, Homotopy and Appl. 9

2007

Later among the works it cites.

B. Bartlett, On unitary 2-representations of finite groups and topological quantum field theory, PhD Thesis, University of Sheffield, 2008, arXiv:0901.3975

Original

2008

Later among the works it cites.

J. Chuang and R. Rouquier, Derived equivalences for symmetric groups and sl(2) categorification, Ann. of Math. 167

2008

Later among the works it cites.

M. Khovanov and L. Rozansky, Matrix factorizations and link homology II, Geom. and Top. 12

2008

Later among the works it cites.

A. Lauda, A categorification of quantum sl(2), 2008, math.QA/0803.3652

2008

Later among the works it cites.