On the Demazure character formula II. Generic homologies
Compositio Mathematica, Tome 58 (1986) no. 2, pp. 259-278. 
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     author = {Joseph, Anthony},
     title = {On the {Demazure} character formula {II.} {Generic} homologies},
     journal = {Compositio Mathematica},
     pages = {259--278},
     publisher = {Martinus Nijhoff Publishers},
     volume = {58},
     number = {2},
     year = {1986},
     mrnumber = {844412},
     zbl = {0595.22014},
     language = {en},
     url = {http://archive.numdam.org/item/CM_1986__58_2_259_0/}
}
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Joseph, Anthony. On the Demazure character formula II. Generic homologies. Compositio Mathematica, Tome 58 (1986) no. 2, pp. 259-278. http://archive.numdam.org/item/CM_1986__58_2_259_0/

[1] A. Joseph: On the Demazure character formula, Ann. Ec. Norm. Sup. (to appear). | Numdam | Zbl

[2] A.K. Tolpygo: Newton polyhedra and the converse of the Borel-Weyl theorem, Functional analysis and its applications, 17, pp. 55-60 (1983). | MR | Zbl