The Farahat-Higman ring of wreath products and Hilbert schemes
| dc.creator | Wang, Weiqiang | |
| dc.date | 2002-05-07 | |
| dc.date | 2003-09-16 | |
| dc.date.accessioned | 2026-07-07T04:48:19Z | |
| dc.date.available | 2026-07-07T04:48:19Z | |
| dc.description | We study the structure constants of the class algebra $R_Z(G_n)$ of the wreath products $G_n$ associated to an arbitrary finite group G with respect to the basis of conjugacy classes. We show that a suitable filtration on $R_Z(G_n)$ gives rise to the graded ring $\mathcal G_G(n)$ with non-negative integer structure constants independent of n (some of which are computed), which are then encoded in a Farahat-Higman ring $\mathcal G_G$. The real conjugacy classes of G come to play a distinguished role, and is treated in detail in the case when G is a subgroup of $SL_2(C)$. The above results provide new insight to the cohomology rings of Hilbert schemes of points on a quasi-projective surface. | |
| dc.description | latex, abstract/introduction modified, to appear in Advances in Math | |
| dc.identifier | https://arxiv.org/abs/math/0205071 | |
| dc.identifier | http://arxiv.org/abs/math/0205071 | |
| dc.identifier | Adv. in Math. 187 (2004), 417--446. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64002 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.title | The Farahat-Higman ring of wreath products and Hilbert schemes | |
| dc.type | text |