论文标题
辫子小组和符合性斯坦伯格组
Braid groups and symplectic Steinberg groups
论文作者
论文摘要
我们从编织组$ b_ {2n+2} $上构建一个同构$ f $，$ 2N+2} $，$ 2N+2 $ strands to Steinberg Group与Lie Type $ c_n $相关的Steinberg Group以及与整数系数。这种同态提升了辫子群的众所周知的符合性表示。我们还描述了$ f $的图像和内核。
We construct a homomorphism $f$ from the braid group $B_{2n+2}$ on $2n+2$ strands to the Steinberg group associated with the Lie type $C_n$ and with integer coefficients. This homomorphism lifts the well-known symplectic representation of the braid groups. We also describe the image and the kernel of $f$.
