Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebraic structures behind Hilbert schemes and wreath products   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.

17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph