  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.

Commutative Algebra