Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Schur-Weyl duality for $U_{v,t}(sl_{n})$   In \cite{fl}, the authors get a new presentation of two-parameter quantum
algebra $U_{v,t}(\mathfrak{g})$. Their presentation can cover all Kac-Moody
cases. In this paper, we construct a suitable Hopf pairing such that
$U_{v,t}(sl_{n})$ can be realized as Drinfeld double of certain Hopf
subalgebras with respect to the Hopf pairing. Using Hopf pairing, we construct
a $R$-matrix for $U_{v,t}(sl_{n})$ which will be used to give the Schur-Weyl
dual between $U_{v,t}(sl_{n})$ and Hecke algebra $H_{k}(v,t)$. Furthermore,
using the Fusion procedure we construct the primitive orthogonal idempotents of
$H_{k}(v,t)$. As a corollary, we give the explicit construction of irreducible
$U_{v,t}(sl_{n})$-representations of $V^{\otimes k}$.

12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics