PREPRINTS
5. Super duality and irreducible characters
of ortho-symplectic Lie superalgebras,
(with Shun-Jen Cheng
and Ngau Lam), 34 pages, 2009.
arXiv:0911.0129
4. Representations of Lie superalgebras in prime characteristic II: the queer series,
(with Lei Zhao), 26 pages, 2008.
arXiv:0902.2758
3. Graded Specht modules,
(with Jon Brundan and Sasha Kleshchev), 23 pages, 2008.
arXiv:0901.0218
2. Kostant
homology formulas for oscillator modules of Lie superalgebras,
(with Shun-Jen Cheng and Jae-Hoon Kwon), 38 pages, 2008.
arXiv:0901.0247
1. Hilbert schemes, wreath products, and the McKay
correspondence,
math.AG/9912104 (Unpublished; cited by papers in Proc. ICM, Invent. Math., JAMS, etc)
PUBLICATIONS (PUBLISHED
or ACCEPTED) (The
versions here may differ slightly from the published ones.)
[# 9, 24, 30 below are survey papers; #40
is an edited book.]
To appear
1. Double
affine Hecke algebras for the spin symmetric group, Math. Res. Lett.
(2009),
math.RT/0608074
2009
57. Representations
of Lie superalgebras in prime characteristic I,
(with Lei Zhao), Proc. London Math.
Soc. 99 (2009), 145-167.
arXiv:0808.0046
56. Hecke-Clifford
algebras and spin Hecke algebras IV: odd double
affine type,
(with Ta Khongsap), Special Issue on Dunkl
Operators and Related Topics, SIGMA 5 (2009), 012, 27 pages.
arXiv:0810.2068
55. The centers of Iwahori-Hecke
algebras are filtered,
(with Andrew Francis),
Proceedings of the ICRT-IV (Lhasa, China), Contemp. Math. 478 (2009), 29--37.
arXiv:0803.3361
54. The centers of spin symmetric group
algebras and Catalan numbers,
(with Jill Tysse), J. Algebr. Combin. 29 (2009), 175--193.
arXiv:0711.3054
2008
53. Brundan-Kazhdan-Lusztig
and super duality conjectures,
(with Shun-Jen Cheng), Publ. Res. Inst. Math. Sci. 44 (2008), 1219--1272.
arXiv:0705.0050
52. Modular representations and
branching rules for wreath Hecke algebras,
(with Jinkui Wan), International Mathematics
Research Notices (2008), Article ID: rnn128-31, 31 pages.
arXiv:0806.0196
51. Remarks on modules of the ortho-symplectic Lie superalgebras,
(with Shun-Jen Cheng),
Bulletin of the Institute of Mathematics, Academia Sinica
(N.S.) 3 (2008), 353--372.
arXiv:0804.2506
50. Hecke-Clifford algebras and spin Hecke algebras II: the rational double affine type,
(with Ta Khongsap), Pacific J. Math. 238
(2008), 73--103.
arXiv:0710.5877
49. The Bloch-Okounkov
correlation functions of negative levels,
(with S.-J. Cheng and David Taylor), J.
Algebra 319 (2008), 457--490.
arXiv:0706.3742
48. Modular
representations of the ortho-symplectic supergroups,
(with Bin Shu), Proc. London Math. Soc. 96
(2008), 251--271.
arXiv:0706.0348
47. Hecke-Clifford algebras and spin Hecke algebras I: the classical affine type,
(with Ta Khongsap), Transformation Groups 13 (2008), 389--412.
arXiv:0704.0201
46. Super duality and Kazhdan-Lusztig polynomials,
(with S.-J. Cheng and R.B. Zhang), Trans. AMS 360
(2008), 5883--5924.
math.RT/0409016
v2
2007
45. Spin Hecke
algebras of finite and affine types,
Advances in Math. 212
(2007), 723--748.
math.RT/0611950
44. The Bloch-Okounkov
correlation functions of classical type,
(with David Taylor), Commun.
Math. Phys. 276 (2007),
473--508.
math.RT/0609036
43. The correlation functions of vertex
operators and Macdonald polynomials,
(with Shun-Jen Cheng), J.
Algebr. Combin. 25 (2007), 43--56.
math.CO/0512064
42. A Fock
space approach to representation theory of osp(2|2n),
(with S.-J. Cheng and R.B. Zhang), Transformation Groups 12
(2007), 209--225.
math.QA/0510106
41. Hilbert schemes of points on
the minimal resolution and soliton equations,
(with Zhenbo Qin),
In: Y.-Z.
Huang and K. Misra (eds.), Lie
algebras, vertex operator algebras and their applications, Contemp. Math.
442 (2007), 435--462.
math.QA/0404540
2005
40. Proceedings for
Conference
on Infinite-dimensional aspects of representation theory and applications,
(edited with S. Berman,
B. Parshall, L. Scott), (Charlottesville,
2004), Contemp. Math. 392,
2005.
39. Hilbert scheme intersection
numbers, Hurwitz numbers, and Gromov-Witten
invariants,
(with W.-P. Li and Z. Qin), In: Infinite-dimensional
aspects of representation theory and applications (Charlottesville, 2004) ,
Contemp. Math. 392 (2005), 67--81, pdf
38. Integral
operators and integral cohomology classes of Hilbert
schemes,
(with Zhenbo Qin), Math. Ann. 331
(2005), 669--692.
math.AG/0405600
2004
37. The cohomology
rings of Hilbert schemes via Jack polynomials,
(with W.-P. Li and Z. Qin),
In: Algebraic Structures and Moduli Spaces (eds. J. Hurtubise
and E. Markman),
CRM Proceedings and Lecture Notes 38
(2004), 249--258.
math.AG/0411255
36. Hilbert schemes, integrable hierarchies, and Gromov-Witten
theory,
(with W.-P. Li and Z. Qin), Internat. Math. Res. Notices 40 (2004),
2085--2104.
math.AG/0302211
35. The Bloch-Okounkov correlation functions at higher levels,
(with Shun-Jen Cheng), Transformation Groups 9
(2004), no. 2, 133-142.
math.QA/0309186
34. Correlation
functions of strict partitions and twisted Fock
spaces,
Transformation Groups 9 (2004), no. 1,
89--101.
math.QA/0303259
33. Ideals of
the cohomology rings of Hilbert schemes and their
applications,
(with W.-P. Li and Z. Qin), Trans. AMS, 356 (2004), 245--265.
math.AG/0208070
32. The Farahat-Higman ring of wreath products and Hilbert schemes,
Adv. in Math. 187
(2004), 417--446.
math.QA/0205071
31. Vertex
algebras and the class algebras of wreath products,
Proc. Lond. Math.
Soc. 88 (2004), 381--404.
math.QA/0203004
2003
30. Universal rings arising in geometry
and group theory,
In: Hilbert Schemes, Vector Bundles and Their
Interplay with Representation Theory,
Contemp. Math. 322
(2003), 125--140.
math.QA/0211093
29. Stability of
the cohomology rings of Hilbert schemes of points on
surfaces,
(with Wei-Ping Li and Zhenbo
Qin), J. reine angew. Math.
554 (2003), 217--234 .
math.AG/0107139
28. Equivariant K-theory,
generalized symmetric products, and twisted Heisenberg algebra,
Commun.Math.Phys. 234 (2003), 101--127.
math.QA/0104168
27. Lie subalgebras of differential operators on the super circle,
(with Shun-Jen Cheng), Publ. Res. Inst. Math. Sci. 39
(2003), 545--600.
math.QA/0103092
2002
26. Hilbert
schemes and symmetric products: a dictionary,
(with Zhenbo Qin), In:
A. Adem et al (eds.), Orbifolds
in Mathematics and Physics,
Contemp. Math. 310
(2002), 233--257.
math.AG/0112070
25. Hilbert schemes and W
algebras,
(with W.-P. Li and Z. Qin), Internat. Math.
Res. Notices 27 (2002), 1427--1456.
math.AG/0111047
24. Algebraic structures behind
Hilbert schemes and wreath products,
In: Recent developments in infinite-dimensional Lie algebras and conformal field
theory,
S. Berman et al (eds),
Contemp. Math. 297 (2002), 271--295.
math.QA/0011103
23. Vertex
algebras and the cohomology ring structure of Hilbert
schemes of points on surfaces,
(with Wei-Ping Li and Zhenbo
Qin), Math. Ann. 324
(2002), 105--133.
math.AG/0009132
22. Twisted vertex representations and
spin characters,
(with Naihuan Jing),
Math. Z. 239 (2002), 715--746.
math.QA/0104127
21. Twisted vertex representations via
spin groups and the McKay correspondence,
(with Igor. Frenkel
and Naihuan Jing), Duke Math. J. 111 (2002) , 51--96.
math.QA/0007159
2001
20. Generators for the cohomology
ring of Hilbert schemes of points on surfaces,
(with Wei-Ping.
Li and Zhenbo Qin), Internat. Math.
Res. Notices 20 (2001), 1057--1074.
math.AG/0009167
19. Virasoro algebra and wreath product convolution,
(with Igor Frenkel), J. Alg. 242 (2001), 656--671.
math.QA/0006087
18. Orbifold Hodge numbers of the wreath product orbifolds,
(with Jian Zhou), J. Geom. Phys. 38 (2001),
153--170.
math.AG/0005124
17. Howe duality for Lie superalgbras,
(with Shun-Jen Cheng), Compositio
Math. 128 (2001), 55--94.
math.RT/0008093
16. Resolution of singularities of
null cones,
Canad. Math. Bull. 44 (2001), 491--503.
math.AG/0005078
15. Lagrangian construction of the (gl_n, gl_m)-duality,
Commun. in Contemp. Math. 3 (2001), 201--214.
math.RT/9907154
2000
14. Remarks
on Schur-Howe-Sergeev
duality,
(with Shun-Jen Cheng), Lett. Math. Phys. 52 (2000), 143--153.
math.RT/0008109
13. Quantum vertex representations
via finite groups and the McKay correspondence,
(with Igor Frenkel and Naihuan Jing),
Commun. Math. Phys. 211 (2000), 365--393.
math.QA/9907175
12. Vertex representations via finite
groups and the McKay correspondence,
(with Igor Frenkel and Naihuan Jing),
Internat. Math. Res.
Notices 4 (2000), 195--222.
math.QA/9907166
11. Equivariant K-theory, wreath
products, and Heisenberg algebra,
Duke Math.
J. 103 (2000), 1--23.
math.QA/9907151
1999
10. Dimension
of a minimal nilpotent orbit,
Proc. Amer.
Math. Soc. 127 (1999), 935--936.
math.RT/9907141
9. Dual pairs and infinite dimensional Lie algebras,
In: Jing and Misra (eds.), Recent developments in quantum affine
algebras and related topics,
Contemp. Math. 248 (1999), 453--469.
math.QA/9907140
8. Duality in infinite dimensional Fock representations,
Commun. Contemp. Math. 1
(1999), 155--199.
q-alg/9710035
7. Dual pairs and tensor categories of modules over Lie
algebras gl_{\infty} and W_{1+\infty},
J. Algebra 216
(1999), 159--177.
q-alg/9709034
1998
6. Quasifinite representations of classical Lie subalgebras
of W_{1+infty},
(with Victor Kac and Catherine H. Yan), Adv. Math. 139 (1998), 56--140.
math.QA/9801136
5. Classification
of irreducible modules of W_3 algebra with c = -2,
Commun. Math. Phys.
195 (1998), 113--128.
q-alg/9708016
4. W{1+ \infty} algebra, W_3
algebra, and Friedan-Martinec-Shenker
bosonization,
Commun. Math. Phys.
195 (1998), 95--111.
q-alg/9708008
1995
3. W_{1+\infty} and W(gl_N) with central charge N,
(with Edward Frenkel, Victor Kac, and Andrey Radul),
Commun. Math. Phys. 170 (1995),
337-358.
hep-th/9405121
1994
2. Vertex Operator Superalgebras and Their
Representations,
(with Victor Kac),
Contemp. Math. 175 (1994), 161--191.
hep-th/9312065
1993
1. Rationality
of Virasoro vertex operator algebras,
Intern. Math. Res. Notices, No. 7 (1993), 197--211, pdf