Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum vertex representations via finite groups and the McKay
  correspondence   We establish a $q$-analog of our recent work on vertex representations and
the McKay correspondence. For each finite group $\Gamma$ we construct a Fock
space and associated vertex operators in terms of wreath products of
$\Gamma\times \mathbb C^{\times}$ and the symmetric groups.
  An important special case is obtained when $\Gamma$ is a finite subgroup of
$SU_2$, where our construction yields a group theoretic realization of the
representations of the quantum affine and quantum toroidal algebras of $ADE$
type.

28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex