(by Hyemin) Preprint 44. A crystal embedding of Kashiwara-Nakashima tableaux into Lusztig data in types B and C preprint (2016) (37 pages). 43. A crystal embedding into Lusztig data of type A preprint (2016) arXiv:1606.06804 (21 pages). 42. Combinatorial extension of stable branching rules for classical groups preprint (2015) arXiv:1512.01877 (28 pages). 41. Character formulae for queer Lie superalgebras and canonical bases of type A/C (with Shun-Jen Cheng and Weiqiang Wang) preprint (2015) arXiv:1512.00116 (31 pages). 40. Kac-Wakimoto character formula for ortho-symplectic Lie superalgebras (with Shun-Jen Cheng) preprint (2014) arXiv:1406.6739 (32 pages) to appear in Advances in Mathematics. Published 39. Finite-dimensional half-integer weight modules over queer Lie superalgebras (with Shun-Jen Cheng) Communications in Mathematical Physics 346 (2016) 945-965. 38. Super duality and crystal bases for quantum orthosymplectic superalgebras II Journal of Algebraic Combinatorics 43 (2016) 553-588. 37. Super duality and crystal bases for quantum orthosymplectic superalgebras International Mathematics Research Notices 23 (2015) 12620-12677. Journal of Combinatorial Theory, Series A. 134 (2015) 121-146. 35. Irreducible characters of Kac-Moody Lie superalgebras (with Shun-Jen Cheng and Weiqiang Wang) Proceedings of the London Mathematical Society (3) 110 (2015), 108-132. 34. Crystal bases of $q$-deformed Kac modules over the quantum superalgebra $U_q(\mathfrak{gl}(m|n))$ International Mathematical Research Notices (2014), 512-550. 33. $q$-deformed Clifford algebra and level zero fundamental representations of quantum affine algebras Journal of Algebra, 399 (2014), 927-947. 32. RSK correspondence and classically irreducible Kirillov-Reshetikhin crystals Journal of Combinatorial Theory Series A. 120 (2013), 433-452. 31. Littlewood identity and crystal bases Advances in Mathematics 230 (2012), 699-745. 30. A plactic algebra for extremal weight crystals and the Cauchy identity for Schur operators, Journal of Algebraic Combinatorics 34 (2011), 427-449. 29. Crystal bases of modified quantum groups and a double RSK correspondence Journal of Combinatorial Theory Series A. 118 (2011), 2131-2156. 28. Crystal duality and Littlewood-Richardson rule of extremal weight crystals Journal of Algebra 336 (2011), 99-138. 27. Littlewood-Richardson coefficients and extremal weight crystals RIMS Kokyuroku 1689 (2010), 50-60. 26. Kostant homology formula for oscillator representations of Lie superalgebras (with Shun-Jen Cheng and Weiqiang Wang) Advances in Mathematics 224 (2010), 1548-1588. 25. Differential operators and crystal bases of extremal weight modules Advances in Mathematics 222 (2009), 1339-1369. 24. Demazure crystals of generalized Verma modules and a flagged RSK correspondence Journal of Algebra 322 (2009), 2150-2179. 23. Crystal graphs for general linear Lie superalgebras and quasi-symmetric functions Journal of Combinatorial Theory Series A 116 (2009), 1199-1218. 22. Crystal graphs and the combinatorics of Young tableaux Handbook of Algebra, vol. 6, 473-504 (Elsevier, 2009). 21. A combinatorial proof of a Weyl type formula for hook Schur polynomials Journal of Algebraic combinatorics, 28 (2008), 439-459. 20. Kostant's homology formulas for infinite dimensional Lie superalgebras (with Shun-Jen Cheng) International Mathematical Research Notices, (2008). 19. Fock space representations of quantum affine algebras and generalized Lascoux-Leclerc-Thibon algorithm (with Seok-Jin Kang) Journal of the Korean Mathematical Society, 45 (2008), 1135-1202. 18. A BGG-type resolution for irreducible tensor $\frak{gl}_{m|n}$-modules (with Shun-Jen Cheng and Ngau Lam) Letters in Mathematical Physics, 85 (2008) 75-87. 17. Rational semistandard tableaux and character formula for the Lie superalgebra $\widehat{\frak{gl}}_{\infty|\infty}$, Advances in Mathematics 217 (2008) 713-739. 16. Crystal graphs for Lie superalgebras and Cauchy decompositions Journal of Algebraic Combinatorics, 25 (2007), 57-100. 15. Decomposition of the Fock Space in two-dimensional square lattice systems (with Myung-Hoon Chung and Byung-Bae Kim) Letters in Mathematical Physics, 78 (2006), 73-88. 14. Weight multiplicities for affine Lie algebras of type $A_r^{(1)}$ and Kostka numbers (with Young-Tak Oh) Journal of Algebra 299 (2006), 226-244. 13. Affine crystal graphs and two-colored partitions Letters in Mathematical Physics, 75 (2006), 171-186. 12. Free Lie superalgebras and representations of $\frak{gl}(m,n)$ and $\frak{q}(n)$ Journal of the Korean Mathematical Society, 42 (2005), 365-386. 11. Crystal bases of the Fock space representations and the string functions (with Seok-Jin Kang) Journal of Algebra 280 (2004), 313-349. 10. Automorphisms of Borcherds superalgebras and fixed point subalgebras Journal of Algebra 259 (2003), 533-571. 9. Fock space representations for the quantum affine algebra of type $C_2^{(1)}$ (with Seok-Jin Kang) Contemporary Mathematics 325 (2003), 109-131. 8. Reduction of the Hilbert space in strongly correlated systems (with Myung-Hoon Chung) Journal of Mathematical Physics 43 (2002), 4582-4591. 7. Quantum affine algebras, combinatorics of Young Walls and global bases (with Seok-Jin Kang) Electronic Research Announcements of American Mathematical Society 8 (2002), 35-46. 6. Tensor product of crystal bases over $U_q(\frak{gl}(m,n))$ (with Seok-Jin Kang) Communications in Mathematical Physics 224, (2001), 705-732. 5. Peterson-type dimension formulas for graded Lie superalgebras (with Seok-Jin Kang, Young Tak Oh) Nagoya Mathematical Journal 163 (2001), 107-144. 4. Graded Lie superalgebras, supertrace formula, and orbit Lie superalgebras (with Seok-Jin Kang) Proceedings of London Mathematical Society (3) 81 (2000), 675-724. 3. Decomposition of free Lie algebras into irreducible components (with Jin Hong) Journal of Algebra 197 (1997), 127-145. 2. Integral points on hyperbolas (with Jin Hong, Kyeonghoon Jeong) Journal of the Korean Mathematical Society, 34 (1997), no. 1, 149-157. 1. Symmetries of Yoshioka-Halperlin-Lee Hamiltonian for the fractional quantum Hall effect (with Myung-Hoon Chung, Jin Hong) Physics Review B 55 (1997), 2249-2273. |
Jae-Hoon Kwon >