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Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.

2 votes

Generalization of Schur's lemma (Update)

I'm afraid I do not know the answer to your problem, but here's a counterexample to your conjecture that the result is zero if $r'\ne r''$. take $r=(2,1)$ (i.e., the Young diagram with two boxes one t …
Paul Zinn-Justin's user avatar
9 votes

Vandermonde-type identity for Jacobi theta functions?

Yes, there is such a formula. see (A.2.17) of Nijhoff's lecture notes.
Paul Zinn-Justin's user avatar