17 citations · 20 across the 7 of their papers we have counts for
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Universal rings arising in geometry and group theory
Weiqiang Wang
Various algebraic structures in geometry and group theory have appeared to be governed by certain universal rings. Examples include: the cohomology rings of Hilbert schemes of poin…
Ideals of the cohomology rings of Hilbert schemes and their applications
Wei-Ping Li, Zhenbo Qin, Weiqiang Wang
We study the ideals of the rational cohomology ring of the Hilbert scheme X^{[n]} of n points on a smooth projective surface X. As an application, for a large class of smooth quasi…
The Farahat-Higman ring of wreath products and Hilbert schemes
Weiqiang Wang
We study the structure constants of the class algebra of the wreath products associated to an arbitrary finite group G with respect to the basis of conjugacy class…
Vertex algebras and the class algebras of wreath products
Weiqiang Wang
The Jucys-Murphy elements for wreath products G_n associated to any finite group G are introduced and they play an important role in our study on the connections between class alge…