Research Papers
Postscript or pdf files
  1. (Joint with Y. Li)   Canonical basis for algebras arising from quivers with loops
  2. (Joint with Y. Li)  A realization of quantum groups via product valued quivers,
  3. (Joint with Y. Li)  Generalized Kac-Moody Lie algebras  and product  quivers,
  4. (Joint with Y. Li) AR-quiver approach to affine canonical basis elements,
  5. (Jiont with B. Deng)  Nilpotent orbits, symplectic and orthogonal representations of quivers
  6. (Joint with D. Nakano) Projective modules for higher Frobenius kernels and finite Chevalley groups
  7. (Joint with J. Xiao and G. Zhang) Representations of tame quivers and affine canonical bases
  8. (Joint With Y. Fang) Chinese Postman Tour problems for digraphs with anti-involutions
  9. (Joint with Y. Fang) Eulerian and Hamiltonian paths in digraphs with anti-involutions.
  10. (Joint with Hebing Rui) Cyclotomic $q$-Schure Algebras and Schur-Weul Duality
  11. (Joint with J. Carlson, D. Nakano)  Support Varieties for Finite Chevalley Groups and Lie Algebras.   Trans. Amer. Math. Soc.
  12. (Joint with J. Du)  Stratifying Algebras by Near-Matrix Algebras.    Journal of Pure and Appl. Algebra  188 (2004), 59--72.
  13. Lusztig's Geometric Approach to Hall Algebras, (Fields Institute Series)
  14. Gelfand-Kirillov dimensions of algebras arising from representation theory, pp.135--157 in  Algebra Representation Theory,  edited by K.W.Roggenkamp, Kluwer Academic Publisher, 2001.
  15. (Joint with J. Carlson, D. Nakano, B. Parshall) Restricted Nullcone Combinatorial and geometric representation theory (Seoul, 2001), 51--75, Contemp. Math., 325,  Amer. Math. Soc., Providence, RI, 2003. 
  16. (Joint with J. Hua)  Generalized Weyl Determinator Formula.     in Representations and Quantizations Proceedings of the International Conference on Representation Theory held in Shanghai, 1998, China Higher Education Press and Springer-Verlag, 2000, 247--262.
  17. Radical structures of highest weight modules  arising from queantum groups at roots of 1 ,  In Representations and Quantizations Proceedings of the International Conference on Representation Theory held in Shanghai, 1998}, China Higher Education Press and Springer-Verlag, 2000, 327--340.
  18. (Joint with D. Nakano) Extensions of modules modules over Hopf algebras arising from Lie algebras of Cartan type  Algebras and  Representations (to appear)
  19. (Joint with D. Nakano) Complexity for modules over  finite Chevalley groups and classical Lie algebras  ,  Invent. Math138 (1999), 85-101
  20. Joint with  Nakano, Good filtrations for representations  of Lie algebras of Cartan type, J. Pure and Appl. Algebra 127  (1998), 231-256.
  21. Highest Weight Modules for Algebraic Groups Arising from  Quantum Groups, J. Algebra208  (1998),  276-303.
  22. Comparison of Extensions of Modules for  Algebraic Groups and Quantum Groups,  Proceedings of Symposia in Pure Mathematics,  63  (1998), 355-367.
  23. (Joint with Nakano)  Representations of Hopf algebra arising  from Cartan type Lie algebras.     J. Algebra 189 (1997), 529--567.
  24. (Joint with C. Dong, G. Mason) On vertex operator  algebras as  sl2-modules,   in: Proc.  on the Monster,  Columbus, May, 1993, ed. K. Harada, Walter de Gruyter, Berlin-New York.
  25. (Joint with C. Dong)  Induced representations for vertex operator algebras,   Communications in Mathematical Physics179  (1996), 157--184.
  26. Freeness of quantum coordinate algebra, (submitted to   Comm. in Algebra, 1994).
  27. (Joint with Nakano)  Algebraic Group Actions on  Cohomology Theory of Lie Algebras of Cartan Type,   J. Algebra  179  (1996), 852--888.
  28. (Joint with P. Sin)  Divisibility of Steinberg modules, (unpublished).
  29.  Rational representations of Hopf algebras,  Proceedings of Symposia in Pure Mathematics   56  (1994) Part II, 81--91. (Amer.\ Math.\ Soc.)
  30. A note on a conjecture  of  Lusztig, (1992, unpublished)
  31.  A Mackey decomposition theorem and cohomology for quantum groups at roots  of 1,  J. Algebra, 166 (1994), 100--129.
  32.  Representations of Chevalley groups arising from  admissible lattices,   Proc. Amer.  Math.  Soc114 (3) (1992), 651--660.
  33. Induced representations of Hopf algebras: Applications to quantum groups at roots of 1,   J.  Algebra,  154 (1993), 152--187.
  34.  Loewy series of certain indecomposable modules for Frobenius subgroups,   Trans. Amer. Math. Soc. 332  (1992), 391--409.
  35. Extensions between simple modules for Frobenius kernels,    Math. Z207 (4) (1991), 485--499.
  36. Socle series of cohomology groups of line bundles on $G/B$,   J. Pure Appl. Algebra  72  (1991), 275--294.
  37.  The structure of cohomology of line bundles on $G/B$  for  semisimple algebraic groups,   J. Algebra  134  (1990),  225--256.
  38. The structure of cohomology  of line bundles on the flag varieties for some  groups  of rank 2, Ph.D. Dissertation, U. Massachusetts, 1989.
  39. (Joint with X.Tang) The isomorphisms of symplectic groups over $X_{0}$-$\Phi$-surjective rings,   Acta Math. Sinica  29 (4)(1986), 477--480.
  40. (Joint with X. Tang)  The isomorphisms of linear groups over $X_{0}$-$\Phi$-surjective rings,  J.  of Harbin Shipbldg  Eng. Inst.  7 (3) (1986), 89--98.
  41. (Joint with X.Tang)  Notes on the numbers of generators of submodules,   J. of Harbin hipbldg.  Eng. Inst.  7 (3) (1986), 85--88.
  42. (Joint with X. Tang)   The fundamental theorem of projective geometry over some commutative rings,   J.  of Harbin Shipbldg.  Eng.  Inst.1  (1985), 97--102.
  43. The isomorphisms of symplectic groups over local rings,  Acta Math. Sinica27  (6) (1984), 730--748.
  44. The isomorphisms of linear groups over local rings,  Acta Math.  Sinica,   27 (4) (1984), 528--531.

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