209 citations · 1.5k across the 128 of their papers we have counts for
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Hilbert schemes, wreath products, and the McKay correspondence
Weiqiang Wang
Various algebraic structures have recently appeared in a parallel way in the framework of Hilbert schemes of points on a surface and respectively in the framework of equivariant K-…
Dual pairs and infinite dimensional Lie algebras
Weiqiang Wang
We construct and study various dual pairs between finite dimensional classical Lie groups and infinite dimensional Lie algebras in some Fock representations. The infinite dimension…
Quantum vertex representations via finite groups and the McKay correspondence
Igor Frenkel, Naihuan Jing, Weiqiang Wang
We establish a -analog of our recent work on vertex representations and the McKay correspondence. For each finite group we construct a Fock space and associated vertex opera…
Vertex representations via finite groups and the McKay correspondence
Igor Frenkel, Naihuan Jing, Weiqiang Wang
Given a finite group and a virtual character $\wt$ on it, we construct a Fock space and associated vertex operators in terms of representation ring of wreath products $Γ\sim S_…
Lagrangian construction of the -duality
Weiqiang Wang
We give a geometric realization of the symmetric algebra of the tensor space together with the action of the dual pair in terms of lagrangian cy…
Equivariant K-theory, wreath products, and Heisenberg algebra
Weiqiang Wang
Given a finite group G and a G-space X, we show that a direct sum $F_G (X) = \bigoplus_{n \geq 0}K_{G_n} (X^n) \bigotimes \C$ admits a natural graded Hopf algebra and -ring stru…