论文标题
关于谷仓墙晶格$λ_{bw_ {16}} $和排名4 Quaternions的张量
On the automorphism of Barns Wall Lattice $Λ_{BW_{16}}$ and rank 4 tensor of quaternions
论文作者
论文摘要
在上一篇论文中，我发现可以使用Quaternion的等级$ 2 $ tensor构建Weyl ofer组$ W（F_4）$和Barns-Wall lattice $ bw_ {16} $。在本文中，我描述了我如何构建代数，这是Hurwitz Quaternionic Integers $ \ Mathscr {h}^4 $的直接产物的子代数，与自动形态$ \ sutomorplic to atutomorphist $ \ \ \ text {aut}（aut}（aut}（aut}）） 7 $的谷仓墙晶格。
In a previous paper, I found that the Weyl group $W(F_4)$ and Barns-Wall Lattice $BW_{16}$ can be constructed using the rank $2$ tensor of the quaternion. In the present paper, I describe how I were able to construct an algebra, which is the subalgebra of the direct product of Hurwitz Quaternionic integers $\mathscr{H}^4$, isomorphic to the automorphism $\text{Aut}(BW_{16})$ order $2^{21} \cdot 3^5 \cdot 5^2 \cdot 7$ of Barns Wall Lattice $BW_{16}$ by functionally extending the rank of the tensor product of quaternions to $4$.
