Hi,
I've just learned that an irreps of a simple Lie group can be uniquely labelled by its highest weight's components. This can be given in Dynkin basis or, in a different fashion, through the first row of the corresponding Gelfand-Tsetlin pattern. In brief, in writing a code that exploit some Lie representation's theory properties, I'd like to have some relation in hand that would allow me to change the Dynkin of an irreps, to the corresponding Gelfand-Tsetlin line.
Thank you so much.
I've just learned that an irreps of a simple Lie group can be uniquely labelled by its highest weight's components. This can be given in Dynkin basis or, in a different fashion, through the first row of the corresponding Gelfand-Tsetlin pattern. In brief, in writing a code that exploit some Lie representation's theory properties, I'd like to have some relation in hand that would allow me to change the Dynkin of an irreps, to the corresponding Gelfand-Tsetlin line.
Thank you so much.
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