145 citations · 646 across the 26 of their papers we have counts for
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math.RA1998★ 13 cited
Finding Octonionic Eigenvectors Using Mathematica
Tevian Dray, Corinne A. Manogue
The eigenvalue problem for 3x3 octonionic Hermitian matrices contains some surprises, which we have reported elsewhere. In particular, the eigenvalues need not be real, there are 6…
math.RA1998
The Octonionic Eigenvalue Problem
Tevian Dray, Corinne A. Manogue
We discuss the eigenvalue problem for 2x2 and 3x3 octonionic Hermitian matrices. In both cases, we give the general solution for real eigenvalues, and we show there are also soluti…
hep-th1998★ 39 cited
Dimensional Reduction
Corinne A. Manogue, Tevian Dray
Using an octonionic formalism, we introduce a new mechanism for reducing 10 spacetime dimensions to 4 without compactification. Applying this mechanism to the free, 10-dimensional,…