Research Papers
Postscript or pdf files
- (Joint with Y. Li) Canonical basis for algebras arising from quivers with loops
- (Joint with Y. Li) A realization of quantum groups via product valued quivers,
- (Joint with Y. Li) Generalized Kac-Moody Lie algebras and product quivers,
- (Joint with Y. Li) AR-quiver approach to affine canonical basis elements,
- (Jiont with B. Deng) Nilpotent orbits, symplectic and orthogonal representations of quivers
- (Joint with D. Nakano) Projective modules for higher Frobenius kernels and finite Chevalley groups
- (Joint with J. Xiao and G. Zhang) Representations of tame quivers and affine canonical bases
- (Joint With Y. Fang) Chinese Postman Tour problems for digraphs
with anti-involutions
- (Joint with Y. Fang) Eulerian and Hamiltonian paths in digraphs
with anti-involutions.
- (Joint with Hebing Rui) Cyclotomic $q$-Schure Algebras and
Schur-Weul Duality
- (Joint with J. Carlson, D. Nakano) Support
Varieties for
Finite Chevalley Groups and Lie Algebras. Trans. Amer. Math. Soc.
- (Joint with J. Du) Stratifying
Algebras
by Near-Matrix Algebras. Journal of Pure
and Appl. Algebra 188 (2004), 59--72.
- Lusztig's
Geometric Approach to Hall Algebras, (Fields Institute Series)
- 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.
- (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.
- (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.
- 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.
- (Joint with D. Nakano) Extensions
of modules modules over Hopf algebras arising from Lie algebras of
Cartan
type Algebras and Representations (to appear)
- (Joint with D. Nakano) Complexity
for modules over finite Chevalley groups and classical Lie
algebras
, Invent. Math. 138 (1999), 85-101
- Joint with Nakano, Good
filtrations for representations of Lie algebras of Cartan type, J.
Pure and Appl. Algebra, 127 (1998), 231-256.
- Highest
Weight
Modules for Algebraic Groups Arising from Quantum Groups, J.
Algebra, 208 (1998), 276-303.
- Comparison
of Extensions of Modules for Algebraic Groups and Quantum Groups,
Proceedings of Symposia in Pure Mathematics, 63
(1998),
355-367.
- (Joint with Nakano) Representations
of
Hopf
algebra arising from Cartan type Lie algebras.
J. Algebra 189 (1997),
529--567.
- (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.
- (Joint with C. Dong) Induced
representations
for vertex operator algebras, Communications in
Mathematical Physics, 179 (1996), 157--184.
- Freeness of quantum coordinate algebra,
(submitted
to Comm. in Algebra, 1994).
- (Joint with Nakano) Algebraic
Group
Actions
on Cohomology Theory of Lie Algebras of Cartan Type,
J. Algebra
179 (1996), 852--888.
- (Joint with P. Sin) Divisibility
of
Steinberg
modules, (unpublished).
- Rational representations of Hopf
algebras,
Proceedings of Symposia in Pure Mathematics 56
(1994) Part II, 81--91. (Amer.\ Math.\ Soc.)
- A note on a conjecture of
Lusztig, (1992,
unpublished)
- A Mackey decomposition theorem and
cohomology
for quantum groups at roots of 1, J. Algebra, 166
(1994), 100--129.
- Representations of Chevalley
groups
arising
from admissible lattices, Proc. Amer.
Math. Soc. 114 (3) (1992), 651--660.
- Induced representations of Hopf
algebras:
Applications
to quantum groups at roots of 1, J. Algebra,
154 (1993), 152--187.
- Loewy series of certain
indecomposable
modules
for Frobenius subgroups, Trans. Amer. Math. Soc. 332
(1992), 391--409.
- Extensions between simple modules for
Frobenius
kernels, Math.
Z. 207 (4) (1991),
485--499.
- Socle series of cohomology groups of
line
bundles
on $G/B$, J. Pure Appl. Algebra 72
(1991), 275--294.
- The structure of cohomology of
line
bundles
on $G/B$ for semisimple algebraic groups,
J. Algebra 134
(1990), 225--256.
- The
structure of cohomology of
line
bundles
on the flag varieties for some groups of rank 2, Ph.D.
Dissertation, U. Massachusetts, 1989.
- (Joint with X.Tang) The
isomorphisms of
symplectic
groups over $X_{0}$-$\Phi$-surjective rings, Acta
Math. Sinica 29 (4)(1986), 477--480.
- (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.
- (Joint with X.Tang) Notes on the
numbers
of generators of submodules, J. of Harbin hipbldg.
Eng. Inst. 7 (3) (1986), 85--88.
- (Joint with X. Tang) The
fundamental
theorem of projective geometry over some commutative rings,
J. of Harbin
Shipbldg. Eng. Inst., 1
(1985), 97--102.
- The isomorphisms of symplectic groups
over
local
rings, Acta Math. Sinica, 27 (6)
(1984),
730--748.
- The isomorphisms of linear groups over
local rings,
Acta Math. Sinica, 27 (4) (1984),
528--531.