By Misaki Ohta

It is mentioned that there is a subalgebra isomorphic to the alternating group *2 \cdot A_4* as a subalgebra of the Quaternion over integers and half-integers called Hurwitz quaternionic integers *\mathscr{H}* in the book by J.H.Conway and Neil J. A. Sloane. In this paper, I have followed this book and... Show more

September 15, 2022

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A construction of Exceptional Weyl Group $W\left(F_4\right)$ and $W\left(E_8\right)$ using Quaternion, and the lattice in 16-dimensional Euclidean space

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