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Weiqiang Wang

Gordon Whyburn Professor of Mathematics

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Publications

2001

Virasoro algebra and wreath product convolution, (with I. Frenkel). J. Algebra 242; 2001.

656-671. arXiv:math/0006087

Generators for the cohomology ring of Hilbert schemes of points on surfaces, (with W.-P. Li and Z. Qin). IMRN 20; 2001.

1057-1074. arXiv:math/0009167

2000

Equivariant K-theory, wreath products, and Heisenberg algebra. Duke Math. J. 103; 2000.

1-23. arXiv:math/9907151 

Vertex representations via finite groups and the McKay correspondence, (with I. Frenkel and N. Jing). IMRN 4; 2000.

195-222. arXiv:math/9907166

Quantum vertex representations via finite groups and the McKay correspondence, (with I. Frenkel and N. Jing). Comm. Math. Phys. 211; 2000.

365-393. arXiv:math/9907175

Remarks on Schur-Howe-Sergeev duality, (with S.-J. Cheng). Lett. Math. Phys. 52; 2000.

143-153. arXiv:math/0008109

1999

Dual pairs and tensor categories of modules over Lie algebras \widehat{gl}_{\infty} and W_{1+\infty}. J. Algebra 216; 1999.

159-177. arXiv:q-alg/9709034

Dual pairs and infinite dimensional Lie algebras. Contemp. Math. 248; 1999.

453-469. arXiv:math/9907140

Duality in infinite dimensional Fock representations. Commun. in Contemp. Math. 1; 1999.

155-199. arXiv:q-alg/9710035

Dimension of a minimal nilpotent orbit. Proc. AMS. 127; 1999.

935-936. arXiv:math/9907141

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I have research interests in the following subjects:

  • Quantum groups, quantum symmetric pairs, and canonical bases
  • Hecke algebras: finite, affine, and degenerate/spin variants
  • (Spin) symmetric groups and algebraic q-combinatorics
  • Infinite-dimensional Lie algebras and vertex algebras
  • (Super) category O and Kazhdan-Lusztig theory
  • Representation theory of Lie superalgebras
  • Geometric representation theory
  • Modular representation theory
  • Categorification
  • (More keywords: Schur duality, Howe duality, super duality, McKay correspondence, Hilbert schemes of points)

Recent Publications

  • Braid group symmetries on quasi-split ıquantum groups via ıHall algebras
  • Serre-Lusztig relations for ıquantum groups II
  • The q-Schur algebras and q-Schur dualities of finite type
  • Character formulae in category O for exceptional Lie superalgebra G(3)
  • A Serre presentation for the ıquantum groups
  • Hall algebras and quantum symmetric pairs II: reflection functors

Contact

WEIQIANG WANG

ww9c@virginia.edu
434-924-4946
University of Virginia Department of Mathematics
231 Kerchof Hall 
PO Box 400137
Charlottesville VA 22904

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