×

zbMATH — the first resource for mathematics

Kang, Seok-Jin

Compute Distance To:
Author ID: kang.seok-jin Recent zbMATH articles by "Kang, Seok-Jin"
Published as: Kang, S.; Kang, Seok-Jim; Kang, Seok-Jin; Kang, Seokjin
External Links: MGP · Wikidata
Documents Indexed: 121 Publications since 1990, including 3 Books
Reviewing Activity: 8 Reviews

Publications by Year

Citations contained in zbMATH

100 Publications have been cited 1,507 times in 708 Documents Cited by Year
Introduction to quantum groups and crystal bases. Zbl 1134.17007
Hong, Jin; Kang, Seok-Jin
186
2002
Affine crystals and vertex models. Zbl 0925.17005
Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.; Miwa, Tetsuji; Nakashima, Toshiki; Nakayashiki, Atsushi
147
1992
Perfect crystals of quantum affine Lie algebras. Zbl 0774.17017
Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.; Miwa, Tetsuji; Nakashima, Toshiki; Nakayashiki, Atsushi
103
1992
Crystal bases of Verma modules for quantum affine Lie algebras. Zbl 0808.17007
Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.
49
1994
Crystal bases for quantum affine algebras and combinatorics of Young walls. Zbl 1030.17013
Kang, Seok-Jin
48
2003
Crystal bases for the quantum superalgebra \(U_q(\mathfrak{gl}(m,n))\). Zbl 0963.17010
Benkart, Georgia; Kang, Seok-Jin; Kashiwara, Masaki
45
2000
Categorification of highest weight modules via Khovanov-Lauda-Rouquier algebras. Zbl 1280.17017
Kang, Seok-Jin; Kashiwara, Masaki
43
2012
Quantum deformations of generalized Kac-Moody algebras and their modules. Zbl 0835.17016
Kang, Seok-Jin
38
1995
Crystal bases for quantum generalized Kac-Moody algebras. Zbl 1085.17009
Jeong, Kyeonghoon; Kang, Seok-Jin; Kashiwara, Masaki
29
2005
Gröbner-Shirshov bases for irreducible \(sl_{n+1}\)-modules. Zbl 1023.17001
Kang, Seok-Jim; Lee, Kyu-Hwan
28
2000
Monoidal categorification of cluster algebras. Zbl 06836098
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin
26
2018
Crystal bases and tensor product decompositions of \(U_ q(G_ 2)\)- modules. Zbl 0808.17006
Kang, Seok-Jin; Misra, Kailash C.
26
1994
Simplicity of heads and socles of tensor products. Zbl 1366.17014
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin
24
2015
Graded Lie superalgebras, supertrace formula, and orbit Lie superalgebras. Zbl 1040.17028
Kang, Seok-Jin; Kwon, Jae-Hoon
24
2000
Quantized enveloping algebras for Borcherds superalgebras. Zbl 0913.17008
Benkart, Georgia; Kang, Seok-Jin; Melville, Duncan
24
1998
Monomial realization of crystal bases for special linear Lie algebras. Zbl 1055.17006
Kang, Seok-Jin; Kim, Jeong-Ah; Shin, Dong-Uy
22
2004
Gröbner-Shirshov bases for representation theory. Zbl 0979.16010
Kang, Seok-Jin; Lee, Kyu-Hwan
22
2000
Quiver Hecke superalgebras. Zbl 1360.17018
Kang, Seok-Jin; Kashiwara, Masaki; Tsuchioka, Shunsuke
21
2016
Graded Lie algebras of Kac-Moody type. Zbl 0854.17026
Benkart, Georgia; Kang, Seok-Jin; Misra, Kailash C.
21
1993
Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. II. Zbl 1323.81046
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho
20
2015
Level 1 perfect crystals and path realizations of basic representations at \(q=0\). Zbl 1149.17016
Benkart, Georgia; Frenkel, Igor; Kang, Seokjin; Lee, Hyeonmi
19
2006
Gröbner-Shirshov bases for Lie superalgebras and their universal enveloping algebras. Zbl 0931.17008
Bokut, Leonid A.; Kang, Seok-Jin; Lee, Kyu-Hwan; Malcolmson, Peter
18
1999
Crystal bases for the quantum queer superalgebra and semistandard decomposition tableaux. Zbl 1336.17013
Grantcharov, Dimitar; Jung, Ji Hye; Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho
17
2014
Modified Nakajima monomials and the crystal \(B(\infty )\). Zbl 1171.17010
Kang, Seok-Jin; Kim, Jeong-Ah; Shin, Dong-Uy
17
2007
Crystal bases for quantum classical algebras and Nakajima’s monomials. Zbl 1072.17007
Kang, Seok-Jin; Kim, Jeong-Ah; Shin, Dong-Uy
17
2004
Hecke algebras, Specht modules and Gröbner-Shirshov bases. Zbl 1038.20005
Kang, Seok-Jin; Lee, In-Sok; Lee, Kyu-Hwan; Oh, Hyekyung
17
2002
Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras. Zbl 1407.81108
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho
15
2018
Supercategorification of quantum Kac-Moody algebras. I, II. Zbl 1304.17012
Kang, Seok-Jin; Kashiwara, Masaki; Oh, Se-jin
15
2013
Graded Lie superalgebras and the superdimension formula. Zbl 0973.17037
Kang, Seok-Jin
15
1998
Root multiplicities of Kac-Moody algebras. Zbl 0823.17031
Kang, Seok-Jin
15
1994
Crystal bases for the quantum queer superalgebra. Zbl 1336.17014
Grantcharov, Dimitar; Jung, Ji Hye; Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho
13
2015
Free Lie algebras, generalized Witt formula, and the denominator identity. Zbl 0862.17001
Kang, Seok-Jin; Kim, Myung-Hwan
13
1996
Kac-Moody Lie algebras, spectral sequences, and the Witt formula. Zbl 0794.17014
Kang, Seok-Jin
12
1993
Highest weight modules over quantum queer superalgebra \(U_q(\mathfrak {q}(n))\). Zbl 1268.17015
Grantcharov, Dimitar; Jung, Ji Hye; Kang, Seok-Jin; Kim, Myungho
11
2010
Abstract crystals for quantum generalized Kac-Moody algebras. Zbl 1130.17008
Jeong, Kyeonghoon; Kang, Seok-Jin; Kashiwara, Masaki; Shin, Dong-Uy
11
2007
Crystal bases of the Fock space representations and string functions. Zbl 1137.17304
Kang, Seok-Jin; Kwon, Jae-Hoon
11
2004
Tensor product of crystal bases for \(U_q(\mathfrak{gl}(m,n))\)-modules. Zbl 0991.17012
Kang, Seok-Jin; Kwon, Jae-Hoon
11
2002
Dimension formula for graded Lie algebras and its applications. Zbl 0926.17002
Kang, Seok-Jin; Kim, Myung-Hwan
11
1999
Root multiplicities of the Kac-Moody algebras \(HA_ n^{(1)}\). Zbl 0828.17028
Kang, Seok-Jin; Melville, Duncan J.
11
1994
Root multiplicities of the hyperbolic Kac-Moody Lie algebra \(HA_ 1^{(1)}\). Zbl 0828.17027
Kang, Seok-Jin
11
1993
Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. IV. Zbl 1354.81030
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin
10
2016
Fock space representations of quantum affine algebras and generalized Lascoux-Leclerc-Thibon algorithm. Zbl 1226.17010
Kang, Seok-Jin; Kwon, Jae-Hoon
10
2008
Linear algebraic approach to Gröbner-Shirshov basis theory. Zbl 1180.17005
Kang, Seok-Jin; Lee, Dong-Il; Lee, Kyu-Hwan; Park, Hyungju
10
2007
On the centre of two-parameter quantum groups. Zbl 1106.17013
Benkart, Georgia; Kang, Seok-Jin; Lee, Kyu-Hwan
10
2006
Vertex operators of quantum affine Lie algebras \(U_ q(D_ n^{(1)})\). Zbl 0873.17026
Jing, Naihuan; Kang, Seok-Jin; Koyama, Yoshitaka
10
1995
Generalized Kac-Moody algebras and the modular function \(j\). Zbl 0787.17022
Kang, Seok-Jin
10
1994
Construction of irreducible representations over Khovanov-Lauda-Rouquier algebras of finite classical type. Zbl 1355.17009
Benkart, Georgia; Kang, Seok-Jin; Oh, Se-Jin; Park, Euiyong
9
2014
Quantum queer superalgebra and crystal bases. Zbl 1237.17018
Grantcharov, Dimitar; Jung, Ji Hye; Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho
9
2010
Mixed Schur-Weyl-Sergeev duality for queer Lie superalgebras. Zbl 1370.17009
Jung, Ji Hye; Kang, Seok-Jin
8
2014
Crystals and Nakajima monomials for quantum generalized Kac-Moody algebras. Zbl 1171.17009
Jeong, Kyeonghoon; Kang, Seok-Jin; Kim, Jeong-Ah; Shin, Dong-Uy
8
2008
Canonical bases for quantum generalized Kac-Moody algebras. Zbl 1101.17007
Kang, Seok-Jin; Schiffmann, Olivier
8
2006
Young wall realization of crystal graphs for \(U_q(C_n^{(1)})\). Zbl 1108.17003
Hong, Jin; Kang, Seok-Jin; Lee, Hyeonmi
8
2004
Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. III. Zbl 1322.81056
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin
7
2015
Irreducible modules over Khovanov-Lauda-Rouquier algebras of type \(A_n\) and semistandard tableaux. Zbl 1290.17008
Kang, Seok-Jin; Park, Euiyong
7
2011
Representations of Ariki-Koike algebras and Gröbner-Shirshov bases. Zbl 1065.20008
Kang, Seok-Jin; Lee, In-Sok; Lee, Kyu-Hwan; Oh, Hyekyung
7
2004
Young wall realization of crystal bases for classical Lie algebras. Zbl 1052.17004
Kang, Seok-Jin; Kim, Jeong-Ah; Lee, Hyeonmi; Shin, Dong-Uy
7
2004
Rank 2 symmetric hyperbolic Kac-Moody algebras. Zbl 0846.17025
Kang, Seok-Jin; Melville, Duncan J.
7
1995
Crystal bases for quantum affine algebras and Young walls. Zbl 1196.17014
Kang, Seok-Jin; Lee, Hyeonmi
6
2009
Geometric construction of crystal bases for quantum generalized Kac-Moody algebras. Zbl 1234.17009
Kang, Seok-Jin; Kashiwara, Masaki; Schiffmann, Olivier
6
2009
Higher level affine crystals and Young walls. Zbl 1114.17005
Kang, Seok-Jin; Lee, Hyeonmi
6
2006
Quantum deformations of imaginary Verma modules. Zbl 0890.17021
Cox, Ben; Futorny, Viatcheslav; Kang, Seok-Jin; Melville, Duncan
6
1997
Trace formula for graded Lie algebras and monstrous Moonshine. Zbl 0962.17020
Kac, Victor G.; Kang, Seok-Jin
6
1995
Quantum walled Brauer-Clifford superalgebras. Zbl 1342.17002
Benkart, Georgia; Guay, Nicolas; Jung, Ji Hye; Kang, Seok-Jin; Wilcox, Stewart
5
2016
Categorification of quantum generalized Kac-Moody algebras and crystal bases. Zbl 1283.17014
Kang, Seok-Jin; Oh, Se-Jin; Park, Euiyong
5
2012
Perfect bases for integrable modules over generalized Kac-Moody algebras. Zbl 1283.17017
Kang, Seok-Jin; Oh, Se-jin; Park, Euiyong
5
2011
Borcherds superalgebras and a monstrous Lie superalgebra. Zbl 0881.17024
Kang, Seok-Jin; Kim, Myung-Hwan
5
1997
Indefinite Kac-Moody algebras of special linear type. Zbl 0857.17020
Benkart, Georgia; Kang, Seok-Jin; Misra, Kailash C.
5
1995
Indefinite Kac-Moody algebras of classical type. Zbl 0824.17025
Benkart, Georgia; Kang, Seok-Jin; Misra, Kailash C.
5
1994
On the hyperbolic Kac-Moody Lie algebra \(HA_ 1^{(1)}\). Zbl 0828.17026
Kang, Seok-Jin
5
1994
Vertex models and crystals. Zbl 0776.17008
Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.; Miwa, Tetsuji; Nakashima, Toshiki; Nakayashiki, Atsushi
5
1992
Geometric construction of highest weight crystals for quantum generalized Kac-Moody algebras. Zbl 1287.17032
Kang, Seok-Jin; Kashiwara, Masaki; Schiffmann, Olivier
4
2012
Quantum affine algebras, combinatorics of Young walls, and global bases. Zbl 1030.17012
Kang, Seok-Jin; Kwon, Jae-Hoon
4
2002
Peterson-type dimension formulas for graded Lie superalgebras. Zbl 1054.17023
Kang, Seok-Jin; Kwon, Jae-Hoon; Oh, Young-Tak
4
2001
Lie-admissible algebras and Kac-Moody algebras. Zbl 0892.17021
Jeong, Kyeonghoon; Kang, Seok-Jin; Lee, Hyeonmi
4
1997
A categorification of \(\mathfrak q(2)\)-crystals. Zbl 1414.17010
Grantcharov, Dimitar; Jung, Ji Hye; Kang, Seok-Jin; Kim, Myungho
3
2017
The polynomial behavior of weight multiplicities for classical simple Lie algebras and classical affine Kac-Moody algebras. Zbl 0948.17011
Benkart, Georgia; Kang, Seok-Jin; Lee, Hyeonmi; Shin, Dong-Uy
3
1999
Quantized affine algebras and crystals with core. Zbl 0929.17011
Kang, Seok-Jin; Kashiwara, Masaki
3
1998
Universal \(R\)-matrices and the center of the quantum generalized Kac-Moody algebras. Zbl 0889.17013
Kang, Seok-Jin; Tanisaki, Toshiyuki
3
1997
Parameter estimation for an infiltration problem. Zbl 0869.35111
Cho, C.-K.; Kwon, Y.-H.; Kang, S.
3
1997
Fock space representations of the quantized universal enveloping algebras \(U_ q(C^{(1)}_ l)\), \(U_ q(A^{(2)}_{2l})\), and \(U_ q(D^{(2)}_{l+1})\). Zbl 0777.17009
Kang, Seok-Jin; Misra, Kailash C.; Miwa, Tetsuji
3
1993
Universal optimal configurations for the \(p\)-frame potentials. Zbl 1437.42046
Chen, X.; Gonzalez, V.; Goodman, E.; Kang, S.; Okoudjou, K. A.
2
2020
Borcherds-Bozec algebras, root multiplicities and the Schofield construction. Zbl 07062263
Kang, Seok-Jin
2
2019
A combinatorial description of the affine Gindikin-Karpelevich formula of type \(A^{(1)}_n\). Zbl 1427.17025
Kang, Seok-Jin; Lee, Kyu-Hwan; Ryu, Hansol; Salisbury, Ben
2
2016
Dual perfect bases and dual perfect graphs. Zbl 1383.17008
Kahng, Byeong Hoon; Kang, Seok-Jin; Kashiwara, Masaki; Suh, Uhi Rinn
2
2015
Geometric realization of Khovanov-Lauda-Rouquier algebras associated with Borcherds-Cartan data. Zbl 1281.14011
Kang, Seok-Jin; Kashiwara, Masaki; Park, Euiyong
2
2013
A generalization of Castelnuovo-Mumford regularity for representations of noncommutative algebras. Zbl 1257.16008
Kang, Seok-Jin; Lee, Dong-Il; Park, Euiyong; Park, Hyungju
2
2010
The polynomial behavior of weight multiplicities for the affine Kac-Moody algebras \(A_r^{(1)}\). Zbl 0997.17013
Benkart, Georgia; Kang, Seok-Jin; Lee, Hyeonmi; Misra, Kailash C.; Shin, Dong-Uy
2
2001
Vertex models with alternating spins. Zbl 1017.82017
Hong, Jin; Kang, Seok-Jin; Miwa, Tetsuji; Weston, Robert
2
1998
Mixing of ground states in vertex models. Zbl 0953.82019
Hong, Jin; Kang, Seok-Jin; Miwa, Tetsuji; Weston, Robert
2
1998
A variational spectral method for the two-dimensional Stokes problem. Zbl 0911.76061
Jun, S.-R.; Kwon, Y.-H.; Kang, S.
2
1998
Weight multiplicity polynomials for affine Kac-Moody algebras of type \(A_ r^{(1)}\). Zbl 0862.17016
Benkart, Georgia; Kang, Seok-Jin; Misra, Kailash C.
2
1996
Root multiplicities of graded Lie algebras. Zbl 0867.17023
Kang, Seok-Jin
2
1996
Quantum Borcherds-Bozec algebras and their integrable representations. Zbl 07195684
Kang, Seok-Jin; Kim, Young Rock
1
2020
Higher representation theory and quantum affine Schur-Weyl duality. Zbl 1373.17021
Kang, Seok-Jin
1
2014
Categorification of highest weight modules over quantum generalized Kac-Moody algebras. Zbl 1290.05158
Kang, Seok-Jin; Kashiwara, Masaki; Oh, Se-Jin
1
2013
Generalized Castelnuovo-Mumford regularity for affine Kac-Moody algebras. Zbl 1277.17014
Kang, Seok-Jin; Lee, Dong-Il; Park, Euiyong; Park, Hyungju
1
2011
Quiver varieties and path realizations arising from adjoint crystals of type \(A_n^{(1)}\). Zbl 1229.05278
Kang, Seok-Jin; Park, Euiyong
1
2011
Adjoint crystals and Young walls for \(U_q(\widehat{sl}_2)\). Zbl 1202.17005
Jung, Ji Hye; Kang, Seok-Jin; Kim, Myungho; Kim, Sungsoon; Yu, Jeong-Youn
1
2010
Graded Lie superalgebras and super-replicable functions. Zbl 1107.17017
Kang, Seok-Jin; Kim, Chang Heon; Koo, Ja Kyung; Oh, Young-Tak
1
2005
Crystal graphs for basic representations of the quantum affine algebra \(U_q(C_2^{(1)})\). Zbl 1008.17010
Hong, Jin; Kang, Seok-Jin
1
2000
Universal optimal configurations for the \(p\)-frame potentials. Zbl 1437.42046
Chen, X.; Gonzalez, V.; Goodman, E.; Kang, S.; Okoudjou, K. A.
2
2020
Quantum Borcherds-Bozec algebras and their integrable representations. Zbl 07195684
Kang, Seok-Jin; Kim, Young Rock
1
2020
Borcherds-Bozec algebras, root multiplicities and the Schofield construction. Zbl 07062263
Kang, Seok-Jin
2
2019
Monoidal categorification of cluster algebras. Zbl 06836098
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin
26
2018
Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras. Zbl 1407.81108
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho
15
2018
A categorification of \(\mathfrak q(2)\)-crystals. Zbl 1414.17010
Grantcharov, Dimitar; Jung, Ji Hye; Kang, Seok-Jin; Kim, Myungho
3
2017
Quiver Hecke superalgebras. Zbl 1360.17018
Kang, Seok-Jin; Kashiwara, Masaki; Tsuchioka, Shunsuke
21
2016
Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. IV. Zbl 1354.81030
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin
10
2016
Quantum walled Brauer-Clifford superalgebras. Zbl 1342.17002
Benkart, Georgia; Guay, Nicolas; Jung, Ji Hye; Kang, Seok-Jin; Wilcox, Stewart
5
2016
A combinatorial description of the affine Gindikin-Karpelevich formula of type \(A^{(1)}_n\). Zbl 1427.17025
Kang, Seok-Jin; Lee, Kyu-Hwan; Ryu, Hansol; Salisbury, Ben
2
2016
Simplicity of heads and socles of tensor products. Zbl 1366.17014
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin
24
2015
Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. II. Zbl 1323.81046
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho
20
2015
Crystal bases for the quantum queer superalgebra. Zbl 1336.17014
Grantcharov, Dimitar; Jung, Ji Hye; Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho
13
2015
Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. III. Zbl 1322.81056
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin
7
2015
Dual perfect bases and dual perfect graphs. Zbl 1383.17008
Kahng, Byeong Hoon; Kang, Seok-Jin; Kashiwara, Masaki; Suh, Uhi Rinn
2
2015
Crystal bases for the quantum queer superalgebra and semistandard decomposition tableaux. Zbl 1336.17013
Grantcharov, Dimitar; Jung, Ji Hye; Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho
17
2014
Construction of irreducible representations over Khovanov-Lauda-Rouquier algebras of finite classical type. Zbl 1355.17009
Benkart, Georgia; Kang, Seok-Jin; Oh, Se-Jin; Park, Euiyong
9
2014
Mixed Schur-Weyl-Sergeev duality for queer Lie superalgebras. Zbl 1370.17009
Jung, Ji Hye; Kang, Seok-Jin
8
2014
Higher representation theory and quantum affine Schur-Weyl duality. Zbl 1373.17021
Kang, Seok-Jin
1
2014
Supercategorification of quantum Kac-Moody algebras. I, II. Zbl 1304.17012
Kang, Seok-Jin; Kashiwara, Masaki; Oh, Se-jin
15
2013
Geometric realization of Khovanov-Lauda-Rouquier algebras associated with Borcherds-Cartan data. Zbl 1281.14011
Kang, Seok-Jin; Kashiwara, Masaki; Park, Euiyong
2
2013
Categorification of highest weight modules over quantum generalized Kac-Moody algebras. Zbl 1290.05158
Kang, Seok-Jin; Kashiwara, Masaki; Oh, Se-Jin
1
2013
Categorification of highest weight modules via Khovanov-Lauda-Rouquier algebras. Zbl 1280.17017
Kang, Seok-Jin; Kashiwara, Masaki
43
2012
Categorification of quantum generalized Kac-Moody algebras and crystal bases. Zbl 1283.17014
Kang, Seok-Jin; Oh, Se-Jin; Park, Euiyong
5
2012
Geometric construction of highest weight crystals for quantum generalized Kac-Moody algebras. Zbl 1287.17032
Kang, Seok-Jin; Kashiwara, Masaki; Schiffmann, Olivier
4
2012
Irreducible modules over Khovanov-Lauda-Rouquier algebras of type \(A_n\) and semistandard tableaux. Zbl 1290.17008
Kang, Seok-Jin; Park, Euiyong
7
2011
Perfect bases for integrable modules over generalized Kac-Moody algebras. Zbl 1283.17017
Kang, Seok-Jin; Oh, Se-jin; Park, Euiyong
5
2011
Generalized Castelnuovo-Mumford regularity for affine Kac-Moody algebras. Zbl 1277.17014
Kang, Seok-Jin; Lee, Dong-Il; Park, Euiyong; Park, Hyungju
1
2011
Quiver varieties and path realizations arising from adjoint crystals of type \(A_n^{(1)}\). Zbl 1229.05278
Kang, Seok-Jin; Park, Euiyong
1
2011
Highest weight modules over quantum queer superalgebra \(U_q(\mathfrak {q}(n))\). Zbl 1268.17015
Grantcharov, Dimitar; Jung, Ji Hye; Kang, Seok-Jin; Kim, Myungho
11
2010
Quantum queer superalgebra and crystal bases. Zbl 1237.17018
Grantcharov, Dimitar; Jung, Ji Hye; Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho
9
2010
A generalization of Castelnuovo-Mumford regularity for representations of noncommutative algebras. Zbl 1257.16008
Kang, Seok-Jin; Lee, Dong-Il; Park, Euiyong; Park, Hyungju
2
2010
Adjoint crystals and Young walls for \(U_q(\widehat{sl}_2)\). Zbl 1202.17005
Jung, Ji Hye; Kang, Seok-Jin; Kim, Myungho; Kim, Sungsoon; Yu, Jeong-Youn
1
2010
Crystal bases for quantum affine algebras and Young walls. Zbl 1196.17014
Kang, Seok-Jin; Lee, Hyeonmi
6
2009
Geometric construction of crystal bases for quantum generalized Kac-Moody algebras. Zbl 1234.17009
Kang, Seok-Jin; Kashiwara, Masaki; Schiffmann, Olivier
6
2009
Fock space representations of quantum affine algebras and generalized Lascoux-Leclerc-Thibon algorithm. Zbl 1226.17010
Kang, Seok-Jin; Kwon, Jae-Hoon
10
2008
Crystals and Nakajima monomials for quantum generalized Kac-Moody algebras. Zbl 1171.17009
Jeong, Kyeonghoon; Kang, Seok-Jin; Kim, Jeong-Ah; Shin, Dong-Uy
8
2008
Modified Nakajima monomials and the crystal \(B(\infty )\). Zbl 1171.17010
Kang, Seok-Jin; Kim, Jeong-Ah; Shin, Dong-Uy
17
2007
Abstract crystals for quantum generalized Kac-Moody algebras. Zbl 1130.17008
Jeong, Kyeonghoon; Kang, Seok-Jin; Kashiwara, Masaki; Shin, Dong-Uy
11
2007
Linear algebraic approach to Gröbner-Shirshov basis theory. Zbl 1180.17005
Kang, Seok-Jin; Lee, Dong-Il; Lee, Kyu-Hwan; Park, Hyungju
10
2007
Level 1 perfect crystals and path realizations of basic representations at \(q=0\). Zbl 1149.17016
Benkart, Georgia; Frenkel, Igor; Kang, Seokjin; Lee, Hyeonmi
19
2006
On the centre of two-parameter quantum groups. Zbl 1106.17013
Benkart, Georgia; Kang, Seok-Jin; Lee, Kyu-Hwan
10
2006
Canonical bases for quantum generalized Kac-Moody algebras. Zbl 1101.17007
Kang, Seok-Jin; Schiffmann, Olivier
8
2006
Higher level affine crystals and Young walls. Zbl 1114.17005
Kang, Seok-Jin; Lee, Hyeonmi
6
2006
Crystal bases for quantum generalized Kac-Moody algebras. Zbl 1085.17009
Jeong, Kyeonghoon; Kang, Seok-Jin; Kashiwara, Masaki
29
2005
Graded Lie superalgebras and super-replicable functions. Zbl 1107.17017
Kang, Seok-Jin; Kim, Chang Heon; Koo, Ja Kyung; Oh, Young-Tak
1
2005
Monomial realization of crystal bases for special linear Lie algebras. Zbl 1055.17006
Kang, Seok-Jin; Kim, Jeong-Ah; Shin, Dong-Uy
22
2004
Crystal bases for quantum classical algebras and Nakajima’s monomials. Zbl 1072.17007
Kang, Seok-Jin; Kim, Jeong-Ah; Shin, Dong-Uy
17
2004
Crystal bases of the Fock space representations and string functions. Zbl 1137.17304
Kang, Seok-Jin; Kwon, Jae-Hoon
11
2004
Young wall realization of crystal graphs for \(U_q(C_n^{(1)})\). Zbl 1108.17003
Hong, Jin; Kang, Seok-Jin; Lee, Hyeonmi
8
2004
Representations of Ariki-Koike algebras and Gröbner-Shirshov bases. Zbl 1065.20008
Kang, Seok-Jin; Lee, In-Sok; Lee, Kyu-Hwan; Oh, Hyekyung
7
2004
Young wall realization of crystal bases for classical Lie algebras. Zbl 1052.17004
Kang, Seok-Jin; Kim, Jeong-Ah; Lee, Hyeonmi; Shin, Dong-Uy
7
2004
Crystal bases for quantum affine algebras and combinatorics of Young walls. Zbl 1030.17013
Kang, Seok-Jin
48
2003
Introduction to quantum groups and crystal bases. Zbl 1134.17007
Hong, Jin; Kang, Seok-Jin
186
2002
Hecke algebras, Specht modules and Gröbner-Shirshov bases. Zbl 1038.20005
Kang, Seok-Jin; Lee, In-Sok; Lee, Kyu-Hwan; Oh, Hyekyung
17
2002
Tensor product of crystal bases for \(U_q(\mathfrak{gl}(m,n))\)-modules. Zbl 0991.17012
Kang, Seok-Jin; Kwon, Jae-Hoon
11
2002
Quantum affine algebras, combinatorics of Young walls, and global bases. Zbl 1030.17012
Kang, Seok-Jin; Kwon, Jae-Hoon
4
2002
Peterson-type dimension formulas for graded Lie superalgebras. Zbl 1054.17023
Kang, Seok-Jin; Kwon, Jae-Hoon; Oh, Young-Tak
4
2001
The polynomial behavior of weight multiplicities for the affine Kac-Moody algebras \(A_r^{(1)}\). Zbl 0997.17013
Benkart, Georgia; Kang, Seok-Jin; Lee, Hyeonmi; Misra, Kailash C.; Shin, Dong-Uy
2
2001
Crystal bases for the quantum superalgebra \(U_q(\mathfrak{gl}(m,n))\). Zbl 0963.17010
Benkart, Georgia; Kang, Seok-Jin; Kashiwara, Masaki
45
2000
Gröbner-Shirshov bases for irreducible \(sl_{n+1}\)-modules. Zbl 1023.17001
Kang, Seok-Jim; Lee, Kyu-Hwan
28
2000
Graded Lie superalgebras, supertrace formula, and orbit Lie superalgebras. Zbl 1040.17028
Kang, Seok-Jin; Kwon, Jae-Hoon
24
2000
Gröbner-Shirshov bases for representation theory. Zbl 0979.16010
Kang, Seok-Jin; Lee, Kyu-Hwan
22
2000
Crystal graphs for basic representations of the quantum affine algebra \(U_q(C_2^{(1)})\). Zbl 1008.17010
Hong, Jin; Kang, Seok-Jin
1
2000
Gröbner-Shirshov bases for Lie superalgebras and their universal enveloping algebras. Zbl 0931.17008
Bokut, Leonid A.; Kang, Seok-Jin; Lee, Kyu-Hwan; Malcolmson, Peter
18
1999
Dimension formula for graded Lie algebras and its applications. Zbl 0926.17002
Kang, Seok-Jin; Kim, Myung-Hwan
11
1999
The polynomial behavior of weight multiplicities for classical simple Lie algebras and classical affine Kac-Moody algebras. Zbl 0948.17011
Benkart, Georgia; Kang, Seok-Jin; Lee, Hyeonmi; Shin, Dong-Uy
3
1999
Quantized enveloping algebras for Borcherds superalgebras. Zbl 0913.17008
Benkart, Georgia; Kang, Seok-Jin; Melville, Duncan
24
1998
Graded Lie superalgebras and the superdimension formula. Zbl 0973.17037
Kang, Seok-Jin
15
1998
Quantized affine algebras and crystals with core. Zbl 0929.17011
Kang, Seok-Jin; Kashiwara, Masaki
3
1998
Vertex models with alternating spins. Zbl 1017.82017
Hong, Jin; Kang, Seok-Jin; Miwa, Tetsuji; Weston, Robert
2
1998
Mixing of ground states in vertex models. Zbl 0953.82019
Hong, Jin; Kang, Seok-Jin; Miwa, Tetsuji; Weston, Robert
2
1998
A variational spectral method for the two-dimensional Stokes problem. Zbl 0911.76061
Jun, S.-R.; Kwon, Y.-H.; Kang, S.
2
1998
Quantum deformations of imaginary Verma modules. Zbl 0890.17021
Cox, Ben; Futorny, Viatcheslav; Kang, Seok-Jin; Melville, Duncan
6
1997
Borcherds superalgebras and a monstrous Lie superalgebra. Zbl 0881.17024
Kang, Seok-Jin; Kim, Myung-Hwan
5
1997
Lie-admissible algebras and Kac-Moody algebras. Zbl 0892.17021
Jeong, Kyeonghoon; Kang, Seok-Jin; Lee, Hyeonmi
4
1997
Universal \(R\)-matrices and the center of the quantum generalized Kac-Moody algebras. Zbl 0889.17013
Kang, Seok-Jin; Tanisaki, Toshiyuki
3
1997
Parameter estimation for an infiltration problem. Zbl 0869.35111
Cho, C.-K.; Kwon, Y.-H.; Kang, S.
3
1997
Free Lie algebras, generalized Witt formula, and the denominator identity. Zbl 0862.17001
Kang, Seok-Jin; Kim, Myung-Hwan
13
1996
Weight multiplicity polynomials for affine Kac-Moody algebras of type \(A_ r^{(1)}\). Zbl 0862.17016
Benkart, Georgia; Kang, Seok-Jin; Misra, Kailash C.
2
1996
Root multiplicities of graded Lie algebras. Zbl 0867.17023
Kang, Seok-Jin
2
1996
Quantum deformations of generalized Kac-Moody algebras and their modules. Zbl 0835.17016
Kang, Seok-Jin
38
1995
Vertex operators of quantum affine Lie algebras \(U_ q(D_ n^{(1)})\). Zbl 0873.17026
Jing, Naihuan; Kang, Seok-Jin; Koyama, Yoshitaka
10
1995
Rank 2 symmetric hyperbolic Kac-Moody algebras. Zbl 0846.17025
Kang, Seok-Jin; Melville, Duncan J.
7
1995
Trace formula for graded Lie algebras and monstrous Moonshine. Zbl 0962.17020
Kac, Victor G.; Kang, Seok-Jin
6
1995
Indefinite Kac-Moody algebras of special linear type. Zbl 0857.17020
Benkart, Georgia; Kang, Seok-Jin; Misra, Kailash C.
5
1995
Crystal bases of Verma modules for quantum affine Lie algebras. Zbl 0808.17007
Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.
49
1994
Crystal bases and tensor product decompositions of \(U_ q(G_ 2)\)- modules. Zbl 0808.17006
Kang, Seok-Jin; Misra, Kailash C.
26
1994
Root multiplicities of Kac-Moody algebras. Zbl 0823.17031
Kang, Seok-Jin
15
1994
Root multiplicities of the Kac-Moody algebras \(HA_ n^{(1)}\). Zbl 0828.17028
Kang, Seok-Jin; Melville, Duncan J.
11
1994
Generalized Kac-Moody algebras and the modular function \(j\). Zbl 0787.17022
Kang, Seok-Jin
10
1994
Indefinite Kac-Moody algebras of classical type. Zbl 0824.17025
Benkart, Georgia; Kang, Seok-Jin; Misra, Kailash C.
5
1994
On the hyperbolic Kac-Moody Lie algebra \(HA_ 1^{(1)}\). Zbl 0828.17026
Kang, Seok-Jin
5
1994
Graded Lie algebras of Kac-Moody type. Zbl 0854.17026
Benkart, Georgia; Kang, Seok-Jin; Misra, Kailash C.
21
1993
Kac-Moody Lie algebras, spectral sequences, and the Witt formula. Zbl 0794.17014
Kang, Seok-Jin
12
1993
Root multiplicities of the hyperbolic Kac-Moody Lie algebra \(HA_ 1^{(1)}\). Zbl 0828.17027
Kang, Seok-Jin
11
1993
Fock space representations of the quantized universal enveloping algebras \(U_ q(C^{(1)}_ l)\), \(U_ q(A^{(2)}_{2l})\), and \(U_ q(D^{(2)}_{l+1})\). Zbl 0777.17009
Kang, Seok-Jin; Misra, Kailash C.; Miwa, Tetsuji
3
1993
Affine crystals and vertex models. Zbl 0925.17005
Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.; Miwa, Tetsuji; Nakashima, Toshiki; Nakayashiki, Atsushi
147
1992
Perfect crystals of quantum affine Lie algebras. Zbl 0774.17017
Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.; Miwa, Tetsuji; Nakashima, Toshiki; Nakayashiki, Atsushi
103
1992
Vertex models and crystals. Zbl 0776.17008
Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.; Miwa, Tetsuji; Nakashima, Toshiki; Nakayashiki, Atsushi
5
1992
all top 5

Cited by 567 Authors

57 Kang, Seok-Jin
30 Kashiwara, Masaki
28 Kwon, Jae-Hoon
26 Misra, Kailash C.
26 Okado, Masato
25 Shin, Dong-Uy
23 Kim, Jeong-Ah
22 Oh, Se-jin
20 Schilling, Anne
20 Scrimshaw, Travis
18 Kim, Myungho
18 Park, Euiyong
16 Lee, Hyeonmi
15 Kuniba, Atsuo
15 Lee, Kyu-Hwan
14 Bokut, Leonid A.
14 Naito, Satoshi
13 Nakashima, Toshiki
13 Sagaki, Daisuke
12 Lee, Dong-Il
11 Chen, Yuqun
11 Salisbury, Ben
10 Oh, Young-Tak
10 Takagi, Taichiro
9 Lecouvey, Cédric
8 Jung, Ji Hye
7 Ariki, Susumu
7 Benkart, Georgia M.
7 Brundan, Jonathan
7 Hong, Jin
7 Kleshchev, Alexander S.
7 Obul, Abdukadir
7 Sakamoto, Reiho
7 Shimozono, Mark
7 Wang, Weiqiang
6 Futorny, Vyacheslav M.
6 Grantcharov, Dimitar
6 Jing, Naihuan
6 Kim, Sungsoon
6 Lenart, Cristian
6 Wu, Zhixiang
5 Choi, Seungil
5 Clark, Sean
5 Ellis, Alexander P.
5 Gillespie, Maria Monks
5 Guay, Nicolas
5 Kim, Henry H.
5 Lam, Thomas F.
5 Lauda, Aaron D.
5 Li, Yu
5 Nakayashiki, Atsushi
5 Pylyavskyy, Pavlo
5 Sthanumoorthy, Neelacanta
5 Tingley, Peter W.
5 Webster, Ben
5 Wilson, Evan A.
5 Zhang, Huafeng
4 Cox, Ben Lewis
4 Gade, R. M.
4 Hatayama, Goro
4 Hernandez, David
4 Hu, Jun
4 Kang, Sungkwon
4 Khare, Apoorva
4 Koo, Jakyung
4 Kus, Deniz
4 Li, Yiqiang
4 Miwa, Tetsuji
4 Mo, Qiuhui
4 Naoi, Katsuyuki
4 Oh, Sei-Qwon
4 Savage, Alistair
4 Schiffmann, Olivier G.
4 Tsuchioka, Shunsuke
4 Yamada, Yasuhiko
4 Zhang, Hechun
4 Zhang, Ruibin
4 Zhang, Yaozhong
3 Assaf, Sami H.
3 Bozec, Tristan
3 Chen, Yongshan
3 Cheng, Shun-Jen
3 Davidson, Nicholas
3 Dousse, Jehanne
3 Du, Jie
3 Fan, Zhaobing
3 Foda, Omar
3 Fourier, Ghislain
3 Inoue, Rei
3 Ishii, Motohiro
3 Jeong, Kyeonghoon
3 Jimbo, Michio
3 Joseph, Anthony
3 Kato, Syu
3 Kim, Chang Heon
3 Kolesnikov, Pavel Sergeevich
3 Lapid, Erez Moshe
3 Levinson, Jake
3 Lilly, P. L.
3 Lubovsky, Arthur
...and 467 more Authors
all top 5

Cited in 113 Serials

120 Journal of Algebra
64 Communications in Algebra
39 Advances in Mathematics
30 Transactions of the American Mathematical Society
26 Algebras and Representation Theory
24 Journal of Algebraic Combinatorics
20 Communications in Mathematical Physics
20 Journal of Mathematical Physics
20 Journal of Combinatorial Theory. Series A
18 Journal of Pure and Applied Algebra
16 Nuclear Physics. B
16 Mathematische Zeitschrift
15 Selecta Mathematica. New Series
13 Publications of the Research Institute for Mathematical Sciences, Kyoto University
13 Séminaire Lotharingien de Combinatoire
13 Representation Theory
10 Duke Mathematical Journal
10 Proceedings of the American Mathematical Society
9 Letters in Mathematical Physics
8 Mathematische Annalen
8 Transformation Groups
8 Journal of Algebra and its Applications
7 Compositio Mathematica
6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Inventiones Mathematicae
5 Memoirs of the American Mathematical Society
5 Nagoya Mathematical Journal
5 Journal of Mathematical Sciences (New York)
4 Journal of Geometry and Physics
4 Algebra Colloquium
4 The Electronic Journal of Combinatorics
3 Journal of the Korean Mathematical Society
3 Tokyo Journal of Mathematics
3 European Journal of Combinatorics
3 Chinese Annals of Mathematics. Series B
3 Journal of the American Mathematical Society
3 The Ramanujan Journal
3 Acta Mathematica Sinica. English Series
3 Science China. Mathematics
3 Algebraic Combinatorics
2 International Journal of Modern Physics A
2 Computers & Mathematics with Applications
2 Discrete Mathematics
2 Israel Journal of Mathematics
2 Theoretical and Mathematical Physics
2 Reviews in Mathematical Physics
2 Beiträge zur Algebra und Geometrie
2 Annales de l’Institut Fourier
2 Canadian Journal of Mathematics
2 Journal of Number Theory
2 Osaka Journal of Mathematics
2 Proceedings of the Japan Academy. Series A
2 Proceedings of the London Mathematical Society. Third Series
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Siberian Mathematical Journal
2 Advances in Applied Mathematics
2 Journal of Symbolic Computation
2 Mathematical and Computer Modelling
2 Science in China. Series A
2 International Journal of Mathematics
2 International Journal of Algebra and Computation
2 Journal of Lie Theory
2 Journal of the European Mathematical Society (JEMS)
2 Communications in Contemporary Mathematics
2 Journal of High Energy Physics
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Frontiers of Mathematics in China
2 ACM Communications in Computer Algebra
2 Quantum Topology
2 European Journal of Mathematics
1 Bulletin of the Australian Mathematical Society
1 International Journal of Theoretical Physics
1 Linear and Multilinear Algebra
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Reports on Mathematical Physics
1 Arkiv för Matematik
1 Czechoslovak Mathematical Journal
1 Glasgow Mathematical Journal
1 Publications Mathématiques
1 Journal of the Mathematical Society of Japan
1 Pacific Journal of Mathematics
1 Tohoku Mathematical Journal. Second Series
1 Acta Applicandae Mathematicae
1 SIAM Journal on Discrete Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 Expositiones Mathematicae
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Applied Mathematics. Series B (English Edition)
1 Physics of Fluids
1 St. Petersburg Mathematical Journal
1 Electronic Research Announcements of the American Mathematical Society
1 The Journal of Fourier Analysis and Applications
1 Annals of Combinatorics
1 Annals of Mathematics. Second Series
1 LMS Journal of Computation and Mathematics
1 Communications of the Korean Mathematical Society
1 Annales Henri Poincaré
1 Journal of the Australian Mathematical Society
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 JP Journal of Algebra, Number Theory and Applications
...and 13 more Serials
all top 5

Cited in 41 Fields

570 Nonassociative rings and algebras (17-XX)
217 Combinatorics (05-XX)
145 Associative rings and algebras (16-XX)
138 Group theory and generalizations (20-XX)
115 Quantum theory (81-XX)
50 Commutative algebra (13-XX)
43 Statistical mechanics, structure of matter (82-XX)
33 Algebraic geometry (14-XX)
30 Number theory (11-XX)
29 Category theory; homological algebra (18-XX)
28 Topological groups, Lie groups (22-XX)
10 Computer science (68-XX)
9 Special functions (33-XX)
9 Dynamical systems and ergodic theory (37-XX)
5 Convex and discrete geometry (52-XX)
5 Manifolds and cell complexes (57-XX)
4 Probability theory and stochastic processes (60-XX)
4 Fluid mechanics (76-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 \(K\)-theory (19-XX)
3 Partial differential equations (35-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Differential geometry (53-XX)
2 Numerical analysis (65-XX)
2 Relativity and gravitational theory (83-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 General algebraic systems (08-XX)
1 Field theory and polynomials (12-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Functional analysis (46-XX)
1 Geometry (51-XX)
1 Algebraic topology (55-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.