Algebraic structures behind Hilbert schemes and wreath products
量子代数
2007-05-23 v3 高能物理 - 理论
代数几何
摘要
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 explain connections among Hilbert schemes, wreath products, infinite-dimensional Lie algebras, and vertex algebras. As an application we further describe the cohomology ring structure of the Hilbert schemes. We organize this exposition around several general principles which have been supported by various works on these subjects.
引用
@article{arxiv.math/0011103,
title = {Algebraic structures behind Hilbert schemes and wreath products},
author = {Weiqiang Wang},
journal= {arXiv preprint arXiv:math/0011103},
year = {2007}
}
备注
25 pages, amsLaTex, references updated, journal version