On the automorphism of Barns Wall Lattice ${\Lambda }_{B{W}_{16}}$ and rank 4 tensor of quaternions

Misaki Ohta

In a previous paper, I found that the Weyl group $W(F_4)$ and Barns-Wall Lattice $B{W}_{16}$ can be constructed using the rank $2$ tensor of the quaternion. In the present paper, I d…