Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Realization of $U_q({\mathfrak{sp}}_{2n})$ within the Differential
  Algebra on Quantum Symplectic Space   We realize the Hopf algebra $U_q({\mathfrak {sp}}_{2n})$ as an algebra of
quantum differential operators on the quantum symplectic space
$\mathcal{X}(f_s;\mathrm{R})$ and prove that $\mathcal{X}(f_s;\mathrm{R})$ is a
$U_q({\mathfrak{sp}}_{2n})$-module algebra whose irreducible summands are just
its homogeneous subspaces. We give a coherence realization for all the positive
root vectors under the actions of Lusztig's braid automorphisms of
$U_q({\mathfrak {sp}}_{2n})$.

19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom