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
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
@article{10_4153_CMB_1974_095_7,
author = {Lee, C. Y.},
title = {On the {Branching} {Theorem} of the {Symplectic} {Groups}},
journal = {Canadian mathematical bulletin},
pages = {535--545},
year = {1974},
volume = {17},
number = {4},
doi = {10.4153/CMB-1974-095-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-095-7/}
}
Cité par Sources :