Publications

For recent publications and preprints, please see my departmental website

  1.  The classification of the complex structures on one class of simply connected compact homogeneous spaces, Kexue Tongbao (English Ed.), 29(1984), 999-1003. (MR#: 86a;32064)
  2. Minimal immersions of rank 1 compact symmetric spaces into spheres, Sci. Sinica Ser. A (in English), 28(1985), 263-272. (MR#: 86j;53096)
  3. Determination of the real zonal spherical functions of the compact Riemannian symmetric spaces, Chinese Ann. Math. Ser. B6 (in Chinese), (1985), 263-269. (MR#: 87i;22030)
  4. On degree of minimal immersions of symmetric spaces into spheres, Chinese Ann. Math. Ser. B7 (English Ed.), 1(1986), 44-56. (MR#: 87i;53091)
  5. Joint with J. Koszul, Introduction to Symplectic Geometry, (in Chinese), Science Press, Beijing, 1986. (MR#: 89a;58043)
  6. A note on some structure theorems of modules in category $\Cal O$, Commu. in Alg., 19(5)(1991), 1529-1540. (MR#: 92d;17026)
  7. Deformations of enveloping algebra of Lie superalgebra $sl(m,n)$, Commu. Math. Phys., 162, 3(1994), 467-479. (MR#: 95h;17014)
  8. Finite dimensional representations of $\Gamma({\sigma_{1}}, {\sigma_{2}}, {\sigma_{3}})$, J. of Alg., 169(3)(1994), 827-846. (MR#: 95j;17005)
  9. D-sets and BG-functors in Kazhdan-Lusztig theory, Proc. Amer. Math. Soc., 123(3)(1995), 935-943. (MR#: 95d;22015)
  10. Completions of some modules over quantum groups, Comm. in Alg., 23(7)(1995), 2401-2428.
  11. Categories of finite dimensional weight modules over type I classical Lie superalgebras, J. of Alg., 180 (1996), 459-482.
  12. Deformation of the universal enveloping algebra of $\Gamma({\sigma_{1}},{\sigma_{2}},{\sigma_{3}})$, Canadian Math. Bull., Vol 39(4)(1996), 499-506.
  13. Finite dimensional representations of $U_{q}(sl(2,1))$, Proc. of AMS, 125(6)(1997), 1607-1616.
  14. A multi-parameter reduced deformation of $U(sl(m+n))$, LMP 42 (1997), 329-335.
  15. Integrable representations of $U_{q}(osp(1,2n))$, J. of Pure and Appl. Alg. 130(1998), 99-112.
  16. With Ian Musson, Crystal bases for $U_{q}(osp(1,2r))$, J. of Alg. 210(1998), 514-534
  17. Crystal bases for $U_{q}(sl(2,1))$, AMS Proc. 127(8)(1999), 2213-2223.
  18. On the structure of $U_{q}(sl(m,1))$: crystal bases, J. Phys. A: Math. Gen. 32(1999), 8197-8207.
  19. Crystal bases for $U_{q}(\Gamma({\sigma_{1}},{\sigma_{2}},{\sigma_{3}}))$, AMS Trans. 353(9)(2001), 3789-3802.
  20. Quantum supergroup and spheres representations and little t-Jacobi polynomials, J. of Alg. 267 (2003), 178-198.
  21. (with R.B. Zhang) Spherical functions on homogeneous superspaces, J. of Math. Phys., 46(2005), 043513
  22. Structures of coincidence symmetry groups, Acta Cryst. A62(2006), 109-114.
  23. Gaussian binomials and the number of sublattices, Acta Cryst. A62(2006), 409-410.