Extremal projectors in the semi-classical case
Annales de l'Institut Fourier, Tome 47 (1997) no. 5, p. 1335-1343
En utilisant les projecteurs extrémaux, Zhelobenko a résolu des équations extrémales dans le cas d’un module de Verma générique d’une algèbre de Lie semi-simple complexe. Nous résolvons des équations similaires dans le cas semi-classique. Notre preuve sera géométrique. Dans l’appendice, nous donnons une factorisation du projecteur extrémal pour l’algèbre de Virasoro dans le cas semi-classique.
Using extremal projectors, Zhelobenko solved extremal equations in a generic Verma module of a complex semi-simple Lie algebra. We will solve similar equations in the semi-classical case. Our proof will be geometric. In the appendix, we give a factorization for the extremal projector of the Virasoro algebra in the semi-classical case.
@article{AIF_1997__47_5_1335_0,
     author = {Chemla, Sophie},
     title = {Extremal projectors in the semi-classical case},
     journal = {Annales de l'Institut Fourier},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {47},
     number = {5},
     year = {1997},
     pages = {1335-1343},
     doi = {10.5802/aif.1601},
     zbl = {0897.17006},
     mrnumber = {98m:17013},
     language = {en},
     url = {http://http://www.numdam.org/item/AIF_1997__47_5_1335_0}
}
Chemla, Sophie. Extremal projectors in the semi-classical case. Annales de l'Institut Fourier, Tome 47 (1997) no. 5, pp. 1335-1343. doi : 10.5802/aif.1601. http://www.numdam.org/item/AIF_1997__47_5_1335_0/

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