@article{wang_2003, title={Equivariant K-theory, generalized symmetric products, and twisted Heisenberg algebra}, volume={234}, ISSN={["1432-0916"]}, DOI={10.1007/s00220-002-0753-9}, abstractNote={For a space X acted by a finite group $\G$, the product space $X^n$ affords a natural action of the wreath product $\Gn$. In this paper we study the K-groups $K_{\tG_n}(X^n)$ of $\Gn$-equivariant Clifford supermodules on $X^n$. We show that $\tFG =\bigoplus_{n\ge 0}K_{\tG_n}(X^n) \otimes \C$ is a Hopf algebra and it is isomorphic to the Fock space of a twisted Heisenberg algebra. Twisted vertex operators make a natural appearance. The algebraic structures on $\tFG$, when $\G$ is trivial and X is a point, specialize to those on a ring of symmetric functions with the Schur Q-functions as a linear basis. As a by-product, we present a novel construction of K-theory operations using the spin representations of the hyperoctahedral groups.}, number={1}, journal={COMMUNICATIONS IN MATHEMATICAL PHYSICS}, author={Wang, WQ}, year={2003}, month={Mar}, pages={101–127} }
 @article{jing_wang_2002, title={Twisted vertex representations and spin characters}, volume={239}, ISSN={["0025-5874"]}, url={http://www.scopus.com/inward/record.url?eid=2-s2.0-0036012928&partnerID=MN8TOARS}, DOI={10.1007/s002090100340}, abstractNote={We establish a new group-theoretic realization of the basic representations of the twisted affine and twisted toroidal algebras of ADE types in the same spirit of our new approach to the McKay correspondence. Our vertex operator construction provides a unified description to the character tables for the spin cover of the wreath product of the twisted hyperoctahedral groups and an arbitrary finite group.}, number={4}, journal={MATHEMATISCHE ZEITSCHRIFT}, author={Jing, NH and Wang, WQ}, year={2002}, month={Apr}, pages={715–746} }
 @article{frenkel_jing_wang_2002, title={Twisted vertex representations via spin groups and the McKay correspondence}, volume={111}, DOI={10.1215/dmj/1008706939}, abstractNote={We establish a twisted analog of our recent work on vertex representations and the McKay correspondence. For each finite group $\Gamma$ and a virtual character of $\Gamma$, we construct twisted vertex operators on the Fock space spanned by the super spin characters of the spin wreath products $\Gamma\wr \tilde {S}_n$ of $\Gamma$ and a double cover of the symmetric group $S_n$ for all $n$. When $\Gamma$ is a subgroup of ${\rm SL}_2(\mathbb {C})$ with the McKay virtual character, our construction gives a group-theoretic realization of the basic representations of the twisted affine and twisted toroidal Lie algebras. When $\Gamma$ is an arbitrary finite group and the virtual character is trivial, our vertex operator construction yields the spin character tables for $\Gamma\wr \tilde {S}_n$.}, number={1}, journal={Duke Mathematical Journal}, author={Frenkel, I. B. and Jing, N. H. and Wang, W. Q.}, year={2002}, pages={51–96} }
 @article{li_qin_wang_2002, title={Vertex algebras and the cohomology ring structure of Hilbert schemes of points on surfaces}, volume={324}, ISSN={["1432-1807"]}, DOI={10.1007/s002080200330}, abstractNote={Using vertex algebra techniques, we determine a set of generators for the cohomology ring of the Hilbert schemes of points on an arbitrary smooth projective surface over the field of complex numbers.}, number={1}, journal={MATHEMATISCHE ANNALEN}, author={Li, WP and Qin, ZB and Wang, WQ}, year={2002}, month={Sep}, pages={105–133} }
 @article{li_qin_wang_2001, title={Generators for the cohomology ring of Hilbert schemes of points on surfaces}, number={20}, journal={International Mathematics Research Notices}, author={Li, W. P. and Qin, Z. B. and Wang, W. Q.}, year={2001}, pages={1057–1074} }
 @article{cheng_wang_2001, title={Howe duality for Lie superalgebras}, volume={128}, ISSN={["0010-437X"]}, DOI={10.1023/A:1017594504827}, abstractNote={We study a dual pair ofgeneral linear Lie superalgebras in the sense of R. Howe.We give an explicit multiplicity-free decomposition of a symmetric and skew-symmetric algebra (in the super sense) under the action of the dual pair and present explicit formulas for the highest-weight vectors in each isotypic subspace of the symmetric algebra.We give an explicit multiplicity-free decomposition into irreducible glmjn-modules of the symmetric and skew-symmetric algebras of the symmetric square of the natural representation of glmjn.In the former case, we also ¢nd explicit formulas for the highest-weight vectors.Our work uni¢es and generalizes the classical results in symmetric and skew-symmetric models and admits several applications.}, number={1}, journal={COMPOSITIO MATHEMATICA}, author={Cheng, SJ and Wang, WQ}, year={2001}, pages={55–94} }
 @article{wang_2001, title={Lagrangian construction of the (gl(n),gl(m))-duality}, volume={3}, ISSN={["0219-1997"]}, DOI={10.1142/S0219199701000329}, abstractNote={ We give a geometric realization of the symmetric algebra of the tensor space [Formula: see text] together with the action of the dual pair (gln, glm) in terms of lagrangian cycles in the cotangent bundles of certain varieties. We establish geometrically the equivalence between the (gln, glm)-duality and Schur duality. We establish the connection between Springer's construction of (representations of) Weyl groups and Ginzburg's construction of (representations of) Lie algebras of type A. }, number={2}, journal={COMMUNICATIONS IN CONTEMPORARY MATHEMATICS}, author={Wang, WQ}, year={2001}, month={May}, pages={201–214} }
 @article{wang_zhou_2001, title={Orbifold Hodge numbers of the wreath product orbifolds}, volume={38}, number={2}, journal={Journal of Geometry and Physics}, author={Wang, W. Q. and Zhou, J.}, year={2001}, pages={152–169} }
 @article{wang_2001, title={Resolution of singularities of null cones}, volume={44}, ISSN={["0008-4395"]}, DOI={10.4153/CMB-2001-049-6}, abstractNote={Abstract}, number={4}, journal={CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES}, author={Wang, WQ}, year={2001}, month={Dec}, pages={491–503} }
 @article{frenkel_wang_2001, title={Virasoro algebra and wreath product convolution}, volume={242}, ISSN={["1090-266X"]}, DOI={10.1006/jabr.2001.8860}, abstractNote={Abstract We present a group theoretic construction of the Virasoro algebra in the framework of wreath products. This can be regarded as a counterpart of a geometric construction of Lehn in the theory of Hubert schemes of points on a surface.}, number={2}, journal={JOURNAL OF ALGEBRA}, author={Frenkel, IB and Wang, WQ}, year={2001}, month={Aug}, pages={656–671} }
 @article{cheng_wang_2000, title={Remarks on the Schur-Howe-Sergeev duality}, volume={52}, ISSN={["0377-9017"]}, DOI={10.1023/A:1007668930652}, number={2}, journal={LETTERS IN MATHEMATICAL PHYSICS}, author={Cheng, SJ and Wang, WQ}, year={2000}, month={Apr}, pages={143–153} }