Jae-Hoon Kwon‎ > ‎

PUBLICATION

(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.

36. Duality on Fock spaces and combinatorial energy functions  (with Euiyong Park)  
       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.