初等辛群的一个结构定理的Quillen-Suslin理论
Quillen-Suslin theory for a structure theorem for the Elementary Symplectic Group
摘要：
本文描述了一组新的初等辛元，证明了这些元也生成初等辛群{ \rm ESP} $_{2n}(R)$ .这些生成元比通常的生成元对称性更好，对于研究初等辛群在幺模行上的作用是有用的。另外，利用D的局部全局原理给出了{\rm Sp} $_{2n}(R)$是{ \rm Sp} $_{2n}(R)$的正规子群的另一个证明。Quillen的新发电机。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
