Are Subalgebras Merely Specific Submatrices in Lisi's ESToE?

[Ivan Seeking]

I sure wish I had studied a bit of Lie Algebra so that I might at least have a clue as to what they are all talking about!

How about some AESToE for Dummies?

 

[jim mcnamara]

50 years ago I took a course in "modern algebra" and Sophus Lie was in there.
The stuff these guys are doing is far-removed from anything I ever remember seeing.
The symbols are also confusing. But then, I don't pretend to be a mathematician...
I'd rather be whatever it is that I am. Confused, most likely.

 

[Astronuc]

From the abstract of Lisi's ESToE paper -

All fields of the standard model and gravity are unified as an E8 principal bundle connection. A non-compact real form of the E8 Lie algebra has G2 and F4 subalgebras which break down to strong su(3), electroweak su(2) x u(1), gravitational so(3,1), the frame-Higgs, and three generations of fermions related by triality. The interactions and dynamics of these 1-form and Grassmann valued parts of an E8 superconnection are described by the curvature and action over a four dimensional base manifold.

and the problem is Ivan?

 

[jim mcnamara]

Triality - I thought that was a proceeding with a judge, a jury and a gallows out back behind the courthouse in Crawford TX -- not a flavor of fermions.

 

[Ivan Seeking]

From the abstract of Lisi's ESToE paper -

and the problem is Ivan?

Are subalgebras really just submatrices that meet specific criteria?.