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Feb
21
awarded  Scholar
Feb
21
accepted How can the Cartan-Weyl basis of su(2) be a basis if it does not consist of antihermitian operators?
Feb
21
comment How can the Cartan-Weyl basis of su(2) be a basis if it does not consist of antihermitian operators?
Thanks, Eric and Jyrki. I guess the most important thing to remember is that "... the root vectors Lie in the complexified algebra. This always happens for semi-simple Lie algebras.".
Feb
21
awarded  Editor
Feb
21
revised How can the Cartan-Weyl basis of su(2) be a basis if it does not consist of antihermitian operators?
fix an inconsequential error
Feb
21
comment How can the Cartan-Weyl basis of su(2) be a basis if it does not consist of antihermitian operators?
@JyrkiLahtonen, could you elaborate what you meant by the ladder ops existing only in the complexification of su(2). Concerning the number of dimensions, you are completely right, I was thinking of su(3), I will correct it.
Feb
21
comment How can the Cartan-Weyl basis of su(2) be a basis if it does not consist of antihermitian operators?
I am not a mathematician, so please be patient when explaining/correcting any misconceptions that I might have.
Feb
21
asked How can the Cartan-Weyl basis of su(2) be a basis if it does not consist of antihermitian operators?
Jun
26
awarded  Student
Jun
26
asked Why does the Gauss-Bonnet theorem apply only to even number of dimensons?
Jun
26
comment How do I show this property of a square matrix is true?
Saying the same thing shorter: linear independence of columns is equivalent to determinant different than zero is equivalent to linear independence of rows.
Jun
26
awarded  Supporter