A new set of elementary symplectic elements is described. It is shown that these also generate the elementary symplectic group ESp2n(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, ESp2n(R) is a normal subgroup of Sp2n(R), is shown using the Local Global Principle of D. Quillen for the new set of generators.&nbsp;

Neeraj Kumar

Department of Mathematics

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Journal	Ramanujan Mathematical Society Lecture Notes Series
Publisher	Ramanujan Mathematical Society
Open Access	Yes