Recent content by Digs

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    Graduate Does a=-g Imply a*x^1=-g*x^2 in Lie 3-Algebras?

    Bumping this for some more structure constant help. I'm attempting to figure out what a particular Lie 3-algebra is by classifying it's structure constants, which are constrained by what's called the Fundamental Identity(Which is the 3-analog of the Jacobi Identity for normal Lie algebras)...
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    Graduate Does a=-g Imply a*x^1=-g*x^2 in Lie 3-Algebras?

    in hindsight that was a silly question thanks for your help though
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    Graduate Does a=-g Imply a*x^1=-g*x^2 in Lie 3-Algebras?

    Hi! Im messing around with a Lie 3-Algebra at the moment(Im not sure how widespread these are. They obey similar rules to a Lie Algebra). I have a bracket that looks like this: [x1,x2,x3]=c*x0+a*x1+g*x2+h*x3, with c,a,g,h, some structure constants. I also have the relation a=-g. Am...
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    Graduate Symmetry Breaking and the Metric

    Hello, im a first year phd student, and I am reading http://arxiv.org/abs/0901.1847 right now in an attempt to figure out something cool to do with lie 3 algebras. In the paper they mention that turning on a B field in the 1,2 dimensions breaks the SO(4) symmetry the theory has to...