On the Demazure character formula
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 18 (1985) no. 3, pp. 389-419.
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     author = {Joseph, A.},
     title = {On the {Demazure} character formula},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {389--419},
     publisher = {Elsevier},
     volume = {Ser. 4, 18},
     number = {3},
     year = {1985},
     doi = {10.24033/asens.1493},
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     zbl = {0589.22014},
     language = {en},
     url = {http://www.numdam.org/articles/10.24033/asens.1493/}
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Joseph, A. On the Demazure character formula. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 18 (1985) no. 3, pp. 389-419. doi : 10.24033/asens.1493. http://www.numdam.org/articles/10.24033/asens.1493/

[1] M. Demazure, Désingularisation des variétés de Schubert généralisées (Ann. scient. Éc. Norm. sup., T. 6, Sect. 2, 1974, pp. 53-88). | Numdam | MR | Zbl

[2] M. Demazure, Une nouvelle formule des caractères (Bull. Sci. Math., T. 98, 1974, pp. 163-172). | MR | Zbl

[3] J. Dixmier, Algèbres enveloppantes (cahiers scientifique Vol. XXXVII, Gauthier-Villars, Paris, 1973). | MR | Zbl

[4] A. Joseph, On the Variety of a Highest Weight Module (J. Algebra). | MR | Zbl

[5] A. Joseph, Completion Functors in the O Category in Lecture notes in mathematics, No. 1020, Springer-Verlag, Berlin/Heidelberg/New York, 1983. | MR | Zbl

[6] A. Joseph, Application de la théorie des anneaux aux algèbres enveloppantes, mimeographed notes, Paris 1981.

[7] A. Joseph, The Enright Functor on the Bernstein-Gelfand-Gelfand Category O (Invent. Math., Vol. 67, 1982, pp. 423-445). | MR | Zbl

[8] M. Demazure, A Very Simple Proof of Bott's Theorem (Invent. Math., Vol. 33 1976, pp. 271-272). | MR | Zbl

[9] A. Joseph, Goldie Rank in the Enveloping Algebra of a Semisimple Lie Algebra, III (J. Alg., Vol. 73, 1981, pp. 295-326). | MR | Zbl

[10] O. Gabber and A. Joseph, Towards the Kazhdan-Lusztig Conjecture (Ann. scient. Ec. Norm. Sup., T. 14, 1981, pp. 261-302). | Numdam | MR | Zbl

[11] I. N. Bernstein, I. M. Gelfand and S. I. Gelfand, Schubert Cells and Cohomology of the Spaces G/P (Uspekhi Matemat. Nauk ; Vol. 28, 1973, pp. 3-26 ; Eng. transl. Russian mathematical Surveys, Vol. 28, 1973, pp. 3-26). | MR | Zbl

[12] B. Kostant, Lie Algebra Cohomology and the Generalized Borel-Weil Theorem (Ann. Math., Vol. 74, 1961, pp. 329-387). | MR | Zbl

[13] J.-L. Verdier, Categories derivées, In SGA 41/2, Cohomologie Etale, LN 569, Springer-Verlag, Berlin/Heidelberg/New York, 1977. | MR | Zbl

[14] M. F. Atiyah and I. G. Macdonald, Introduction to Commutative Algebra, Adison-Wesley, London, 1969. | MR | Zbl

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