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Weiqiang Wang

Gordon Whyburn Professor of Mathematics

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Publications

2000

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

1998

Classification of irreducible modules of W_3 algebra with c = -2. Commun. Math. Phys. 195; 1998.

113-128. arXiv:q-alg/9708016

W_{1 +\infty} algebra,  W_3 algebra, and Friedan-Martinec-Shenker bosonization. Commun. Math. Phys. 195; 1998.

95-111. arXiv:q-alg/9708008

Quasifinite representations of classical Lie subalgebras of  W_{1+\infty}, (with V. Kac and C.H. Yan). Adv. in Math. 139; 1998.

6-140. arXiv:math/9801136 

1995

W_{1+\infty} and W(gl_N) with central charge N, (with E. Frenkel, V. Kac and A. Radul). Commun. Math. Phys. 170; 1995.

337-357. arXiv:hep-th/9405121 

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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

  • Multiparameter quantum Schur duality of type B
  • Geometric Schur duality of classical type [Appendix with H. Bao, Y. Li]
  • Canonical bases arising from quantum symmetric pairs
  • Categorification of quantum symmetric pairs I
  • Proceedings for conference on representation theory (in honor of Lusztig’s 70th birthday, 2016). (Edited with S.-J. Cheng and D. Vogan)
  • A new approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs

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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