I am sorry if this question has been asked before.
Is there a way to get the fundamental Lie algebra generators in sage (those
that physicists use, eq. the Paule matrices, Gellmann matrices and so
forth)?
The only thing I can find in the documentation is the generators in the
Chevalley basis, but they do not satisfy the orthogonality condition
tr(T^aT^b)=\delta_{ab}.
I am looking for the generators for all the semisimple Lie groups
(A_n,B_n,C_n,D_n,G_2,F_4,E_6,E_7,E_8).
The reason i need this is because I am trying to verify some calculations
done with the birdtrack method for Lie algebras.
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