209 citations · 1.5k across the 128 of their papers we have counts for
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Algebraic structures behind Hilbert schemes and wreath products
Weiqiang Wang
In this paper we review various strikingly parallel algebraic structures behind Hilbert schemes of points on surfaces and certain finite groups called the wreath products. We expla…
Generators for the cohomology ring of Hilbert schemes of points on surfaces
Wei-ping Li, Zhenbo Qin, Weiqiang Wang
Using the methods developed in [LQW], math.AG/0009132, we obtain a second set of generators for the cohomology ring of the Hilbert scheme of points on an arbitrary smooth projectiv…
Vertex algebras and the cohomology ring structure of Hilbert schemes of points on surfaces
Wei-ping Li, Zhenbo Qin, Weiqiang Wang
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…
Remarks on the Schur-Howe-Sergeev Duality
Shun-Jen Cheng, Weiqiang Wang
We establish a new Howe duality between a pair of two queer Lie superalgebras (q(m),q(n)). This gives a representation theoretic interpretation of a well-known combinatorial identi…
Howe Duality for Lie Superalgebras
Shun-Jen Cheng, Weiqiang Wang
We study a dual pair of general linear Lie superalgebras in the sense of R. Howe. We give an explicit multiplicity-free decomposition of a symmetric and skew-symmetric algebra (in…
Twisted vertex representations via spin groups and the McKay correspondence
Igor Frenkel, Naihuan Jing, Weiqiang Wang
We establish a twisted analog of our recent work on vertex representations and the McKay correspondence. For each finite group and a virtual character of we construct twist…
Virasoro algebra and wreath product convolution
Igor Frenkel, Weiqiang Wang
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…
Resolution of singularities of null cones
Weiqiang Wang
We give canonical resolutions of singularities of several cone varieties arising from invariant theory. We establish a connection between our resolutions and resolutions of singula…
Orbifold Hodge numbers of the wreath product orbifolds
Weiqiang Wang, Jian Zhou
We prove that the wreath product orbifolds studied earlier by the first author provide a large class of higher dimensional examples of orbifolds whose orbifold Hodge numbers coinci…