@article{AIHPA_1979__31_2_99_0,
author = {Klink, W. H. and Ton-That, T.},
title = {Orthogonal polynomial bases for holomorphically induced representations of the general linear groups},
journal = {Annales de l'I.H.P. Physique th\'eorique},
volume = {31},
year = {1979},
pages = {99-113},
mrnumber = {561917},
zbl = {0439.22021},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPA_1979__31_2_99_0}
}
Klink, W. H.; Ton-That, T. Orthogonal polynomial bases for holomorphically induced representations of the general linear groups. Annales de l'I.H.P. Physique théorique, Tome 31 (1979) pp. 99-113. http://gdmltest.u-ga.fr/item/AIHPA_1979__31_2_99_0/
[1] , Representations of Groups, North-Holland Publish-ing Co., Amsterdam, 1970. | MR 272911
[2] and , Finite-dimensional representations of the group of unimodular matrices, Dokl. Acad. Nauk. SSSR, t. 71, 1950, p. 825-828 (Russian) MR 12, 9. | MR 35774
[3] and , Finite-dimensional irreducible representations of the unitary group and the full linear groups, and related special functions, Izv. Akad. NAUK. SSSR Ser. Math., t. 29, 1965, p. 1329-1356 ; English transl., Amer Math. Soc. Transl., (2), t. 64, 1967, p. 116-146, MR 34 # 1450. | MR 201568 | Zbl 0185.21701
[4] and , Holomorphic induction and the tensor product decomposition of irreducible representations of compact groups. I. SU(n) groups, Ann. Inst. Henri Poincaré, Vol. XXXI, n° 2, 1979, p. 77-97. | Numdam | MR 561916 | Zbl 0439.22020
[5] , Lie group reprensentations and harmonic polynomials of a matrix variable, Trans. Amer. Math. Soc., t. 216, 1976, p. 1-46, MR 53,3 # 3210. | MR 399366 | Zbl 0287.22014
[6] , « Harmonic Analysis on Semisimple Lie Groups, I », Springer-Verlag, Berlin, 1972. | Zbl 0265.22020
[7] , Compact Lie groups and their representations, « Nauka », Moscow, 1970; English transl., Transl. Math. Monographs, vol. 40, Amer. Math. Soc., Providence, R. I., 1973. | MR 473098