145 citations · 831 across the 46 of their papers we have counts for
13 papers · 1 filter
The magic square of Lie groups: the case
Tevian Dray, John Huerta, Joshua Kincaid
A unified treatment of the analog of the Freudenthal-Tits magic square of Lie groups is given, providing an explicit representation in terms of matrix groups over comp…
Division Algebra Representations of SO(4,2)
Joshua Kincaid, Tevian Dray
Representations of are constructed using and matrices with elements in , and the known isomorphism between the…
A Symplectic Representation of
Tevian Dray, Corinne A. Manogue, Robert A. Wilson
We explicitly construct a particular real form of the Lie algebra in terms of symplectic matrices over the octonions, thus justifying the identifications $\mathfra…
Discovering Real Lie Subalgebras of e6 using Cartan Decompositions
Aaron Wangberg, Tevian Dray
The process of complexification is used to classify a Lie algebra and identify its Cartan subalgebra. However, this method does not distinguish between real forms of a complex Lie…
E6, the Group: The structure of SL(3,O)
Aaron Wangberg, Tevian Dray
We present the subalgebra structure of sl(3,O), a particular real form of e6 chosen for its relevance to particle physics and its close relation to generalized Lorentz groups. We u…
Octonionic Cayley Spinors and E6
Tevian Dray, Corinne A. Manogue
Attempts to extend our previous work using the octonions to describe fundamental particles lead naturally to the consideration of a particular real, noncompact form of the exceptio…