论文标题
正交Steinberg组的另一个演讲
Another presentation of orthogonal Steinberg groups
论文作者
论文摘要
我们使用亲组方法来表明$ \ mathrm {sto}(m,q)$允许van der Kallen的“另一个演示”,其中$ m $是一个具有足够相同的二次二次表格$ q $的通勤环上的模块。此外,我们根据某些参数的假设构建了正交Steinberg Pro-Group中ESD翻译的类似物。
We use the pro-group approach to show that $\mathrm{StO}(M, q)$ admits van der Kallen's "another presentation", where $M$ is a module over a commutative ring with sufficiently isotropic quadratic form $q$. Moreover, we construct an analog of ESD-transvections in orthogonal Steinberg pro-groups under some assumptions on their parameters.