论文标题
$ C_2 $的整体Steinberg集团的辫子式演示
A braid-like presentation of the integral Steinberg group of type $C_2$
论文作者
论文摘要
我们表明,与Lie类型$ C_2 $关联的Steinberg Group $ \ text {st}(c_2,{\ mathbb z})$,并且可以通过一个关系来实现整数系数。作为一个应用程序,我们给出了Symbletic模块化组$ \ text {sp} _4({\ Mathbb Z})$的新辫子样品。
We show that the Steinberg group $\text{St}(C_2,{\mathbb Z})$ associated with the Lie type $C_2$ and with integer coefficients can be realized as a quotient of the braid group $B_6$ by one relation. As an application we give a new braid-like presentation of the symplectic modular group $\text{Sp}_4({\mathbb Z})$.