17 citations · 20 across the 7 of their papers we have counts for
7 papers · 1 filter
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…
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…