New answers tagged coadjoint-orbit
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Eigenfunctions of the Laplace–Beltrami operator on the coadjoint orbit of $\mathfrak{su}(n)$
For the generic coadjoint orbit as you require, i.e. the full flag manifold $\operatorname{SU}(n)/\text{(max torus)}$, the paper of Yamaguchi (1979) cited at this question has not only the eigenvalues,...
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