Recent content by gda

yeah it's true. They are just nothing but a sophisticated calculator :D. Anyway, if you write this in mathematica (I'm using 6.0) Antisymmetrize[f_] := Module[{p = Permutations[f]}, Signature[f]Signature/@ p . p] . it will antisymmetrize your operation, i.e Antisymmetrize[f[a,b,c]] will...

thanks sam. I'm going to see what this package is capable of.

I didnt probe it yet but I think this might help: Antisymmetrize[f_] := Module[{p = Permutations[f]}, Signature[f]Signature/@ p . p] .

Ok doolin thank you for your time. I've seen the link to tensor in the mathematica help file. I'll try to use what you write above and figure it out the swap between row and the book.

yes it does. I want to teach Mathematica to recognize the antisymmetric property. For example: A[4,5,6] = - A[4,6,5] = A[6,4,5]= . . . I can do it manually , of course, but it takes to long.

Hello! I'm doing a code in Mathematica 6.0 in order to calculate a contraction of indices with the Levi-Civita tensor (in six dimensions) and an antiSymmetric tensor A[m,n,p] (it has 3 indices running from 1 to 6). For example in order to turn A into an antisymmetric tensor, I wrote something...

Hi! You can redefine the Levi-Civita in order to convert it a tensor. In curved space (including Minkowski space) you may define: \epsilon_{\mu\nu\rho\sigma}=\left\{\begin{array}{c} 0~~\mbox{any two indices repeated}\\ +1~~ \mbox{even permutation of indices}\\ -1 ~~\mbox{odd permutation of...

ok, thank you all!

ok, thanks morphism. So, a priori, the signature of the tensor metric is different from the signature of the Killing form ? they are different matrix just because of their dimensions. pd: I've already changed it /--->\ but doesn't seem to work

the latex mode doesn't work?

Hi guys! I am getting some sort of contradiction using the definition of the killing-form. The killing form as a matrix (sometimes called metric) in some basis can be written as: \eta_{ab}=f_{ac}^df_{bd}^c where [ itex ] f_{ab}^c [ /itex ] are the structure constants of the Lie algebra. Of...

and thanks againg lpetrich for your mathematicas ' notebook

Hi everyone. Sorry for my long delay lpetrich. I'm already still working with my problem, and still reading information. You guys know a lot of group theory! I'm just starting with all of these. The group SO(6,6) arises in the context of flux compactification in string theory. Specifically when...

thank you very much simon! i will read the links. I'll search for the books you recommend.

thank you really very much for your time lpetrich. It helps me a lot. I will read it carefully everything. What are the d's ? ( (L_{ab})_{ij} = - i*(d_{ai}g_{bj} - d_{bi}g_{aj}) ) Are any literature you recommend for this ? thank you.