Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quillen-Suslin theory for a structure theorem for the Elementary
  Symplectic Group   A new set of elementary symplectic elements is described, It is shown that
these also generate the elementary symplectic group {\rm ESp}$_{2n}(R)$. These
generators are more symmetrical than the usual ones, and are useful to study
the action of the elementary symplectic group on unimodular rows. Also, an
alternate proof of, {\rm ESp}$_{2n}(R)$ is a normal subgroup of {\rm
Sp}$_{2n}(R)$, is shown using the Local Global Principle of D. Quillen for the
new set of generators.

21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg