Matrix elements and highest weight Wigner coefficients of GL(n,ℂ)
Klink, W. H. ; Ton-That, T.
Annales de l'I.H.P. Physique théorique, Tome 37 (1982), p. 225-237 / Harvested from Numdam
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Publié le : 1982-01-01
@article{AIHPA_1982__36_3_225_0,
     author = {Klink, W. H. and Ton-That, T.},
     title = {Matrix elements and highest weight Wigner coefficients of $GL (n, \, \mathbb {C})$},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {37},
     year = {1982},
     pages = {225-237},
     mrnumber = {664634},
     zbl = {0488.22041},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1982__36_3_225_0}
}

Klink, W. H.; Ton-That, T. Matrix elements and highest weight Wigner coefficients of $GL (n, \, \mathbb {C})$. Annales de l'I.H.P. Physique théorique, Tome 37 (1982) pp. 225-237. http://gdmltest.u-ga.fr/item/AIHPA_1982__36_3_225_0/

[1] I.M. Gelfand and M.I. Graev, Finite-dimensional irreducible representations of the unitary group and the full linear group and related special functions. Izv. Akad. Nauk. S. S. S. R. Ser. Math., t. 29, 1965, p. 1329-1356; English transl., Amer. Math. Soc. Transl., t. 64, 1967, p 116-146. | MR 201568 | Zbl 0185.21701

[2] A.U. Klimyk, Lett. Math. Phys., t. 3, 1979, p. 315. | MR 545409 | Zbl 0418.22018

[3] W.H. Klink and T. Ton-That, Ann. Inst. H. Poincaré, Ser. A, t. 31, 1979. p. 77-79. | Numdam | Zbl 0439.22020

[4] W.H. Klink and T. Ton-That, C. R. Acad. Sci., Ser. B, t. 289, 1979, p. 115-118.

[5] L.C. Biedenharn and J.D. Louck, Comm. Math. Phys., t. 8, 1968, p. 89; M.K.F. Wong, J. Math. Phys., t. 20, 1979, p. 2391, and references cited therein. It should be noted in these references the multiplicity free Wigner coefficients are computed inductively. | MR 235799

[6] Hou Pei-Yu, Scientia Sinica, t. 15, n° 6, 1966, p. 763-772. | MR 209397 | Zbl 0149.27403

[7] W.H. Klink and T. Ton-That, Ann. Inst. H. Poincaré, Ser. A, t. 31, 1979, p. 99-113. | Numdam | MR 561917 | Zbl 0439.22021