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Weiqiang Wang

Gordon Whyburn Professor of Mathematics

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2015

Frobenius map for the centers of Hecke algebras, (with Jinkui Wan). Trans. Amer. Math. Soc. 367; 2015.

5507-5520. arxiv:1208.4446

2014

Coinvariant algebras and fake degrees for spin Weyl groups of classical type, (with Constance Baltera). Math. Proc. Cambridge Philos. Soc. 156; 2014.

43-79. arxiv:1207.0525v2 

Quantum supergroups II. Canonical basis, (with S. Clark and D. Hill). Represent. Theory 18; 2014.

278-309. arxiv:1304.7837

Quantum supergroups III. Twistors,  (with S. Clark, Z. Fan, and Y. Li). Commun. Math. Phys. 332; 2014.

415-436. arxiv:1307.7056

2013

Spin Kostka polynomials, (with Jinkui Wan). Algebr. Comb. 37; 2013.

117-138. arxiv:1102.4901  

Frobenius character formula and spin generic degrees of Hecke-Clifford algebras, (with Jinkui Wan). Proc. London Math. Soc. 106; 2013.

287-317. arxiv:1201.2457

Canonical basis for quantum osp(1|2), (with Sean Clark). Lett. Math. Phys. 103; 2013.

207-231. arxiv:1204.3940

Equivalence of blocks for the general linear Lie superalgebra, (with S.-J. Cheng and V. Mazorchuk). Lett. Math. Phys. 103; 2013.

1313-1327. arxiv:1301.1204

Quantum supergroups I. Foundations, (with S. Clark and D. Hill). Transform. Groups 18; 2013.

1019-1053. arxiv:1301.1665

2012

Lectures on spin representation theory of symmetric groups, (with Jinkui Wan). In: Proceedings for Taipei winter school 2010, Bulletin of Institute of Mathematics Academia Sinica (N.S.) 7; 2012.

91-164. arxiv:1110.0263 

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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

  • Cells in affine q-Schur algebras
  • The nil-Brauer category
  • Formulae of ı-divided powers in U_q(sl_2), III
  • Braid group action and quasi-split affine ıquantum groups I
  • An intrinsic approach to relative braid group symmetries on ıquantum groups
  • 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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