Craig McRae

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Sporadic Isogenies to the Quaternionic Orthogonal Groups $SO^{*} (2 n)$

Craig McRae

For small dimensional Lie algebra's there are many so-called accidental isomorphisms which give rise to double covers of special orthogonal groups - Spin groups - which happen to c…

math.RT2025

Exploring Triality Explicitly: Convenient bases for $SO (8)$ , $Spin (1, 7)$ , and $G_{2}$

Craig McRae

The property of triality only appears in one linear simple Lie algebra: $D_{4}$ , a.k.a. $so (8, C)$ . Though often explored in abstract, it is desirable to have an…

Sporadic Isogenies to the Quaternionic Orthogonal Groups SO∗(2n)

Exploring Triality Explicitly: Convenient bases for SO(8), Spin(1,7), and G2​

Sporadic Isogenies to the Quaternionic Orthogonal Groups $SO^{*} (2 n)$

Exploring Triality Explicitly: Convenient bases for $SO (8)$ , $Spin (1, 7)$ , and $G_{2}$