Geodesic
On the Branching Theorem of the Symplectic Groups
Canadian mathematical bulletin, Tome 17 (1974) no. 4, pp. 535-545

Voir la notice de l'article provenant de la source Cambridge University Press

In [1], Zhelobenko introduced the concept of a Gauss decomposition ZtDZ of a topological group and gave characterizations of irreducible representations of the classical groups. In this setting, vectors of representation spaces are polynomial solutions of a system of differential equations and the problem of obtaining branching theorem with respect to a subgroup G0 is to find all polynomial solutions that are invariant under Z ∩ G0 and have dominant weight with respect to D ∩ G0 
Lee, C. Y. On the Branching Theorem of the Symplectic Groups. Canadian mathematical bulletin, Tome 17 (1974) no. 4, pp. 535-545. doi: 10.4153/CMB-1974-095-7
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[1] 1. Zhelobenko, D. P., The classical groups. Spectral analysis of their finite-dimensional representations, Russian Math. Surveys 17 (1962), 1-94. Google Scholar

[2] 2. Lepowsky, thesis, J., M.I.T. (1970). Google Scholar

[3] 3. Lepowsky, J., Multiplicity formulas for certain semisimple Lie groups, Bull. Amer. Math. Soc. 4, vol. 77 (1971) 601-605. Google Scholar

[4] 4. Hegerfeldt, G. C., Branching theorem for the symplectic groups, J. Math. Phys. 8 (1967), 1195-1196. Google Scholar

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