Representations of algebraic groups in prime characteristics
Annales scientifiques de l'École Normale Supérieure, Serie 4, Volume 14 (1981) no. 1, pp. 61-76.
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     author = {Kempf, George R.},
     title = {Representations of algebraic groups in prime characteristics},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {61--76},
     publisher = {Elsevier},
     volume = {Ser. 4, 14},
     number = {1},
     year = {1981},
     doi = {10.24033/asens.1397},
     mrnumber = {82h:14031},
     zbl = {0466.20017},
     language = {en},
     url = {http://archive.numdam.org/articles/10.24033/asens.1397/}
}
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Kempf, George R. Representations of algebraic groups in prime characteristics. Annales scientifiques de l'École Normale Supérieure, Serie 4, Volume 14 (1981) no. 1, pp. 61-76. doi : 10.24033/asens.1397. http://archive.numdam.org/articles/10.24033/asens.1397/

[1] H. H. Andersen, On the Structure of the Cohomology of Line Bundles on G/B (to appear).

[2] H. H. Andersen, The Frobenius Morphism on the Cohomology of Homogeneous Vector Bundles on G/B (to appear).

[3] A. Borel, Linear Algebraic Groups, Benjamin, New York, 1969. | MR | Zbl

[4] A. Borel et al., Seminar on Algebraic Groups and Related Finite Groups (Lecture Notes in Math., No 131, Springer-Verlag, Berlin, 1970). | MR | Zbl

[5] E. Cline, B. Parshall and L. Scott, Induced Modules and Extensions of Representations (Inventiones Math., Vol. 41, (1978, pp. 41-51). | MR | Zbl

[6] C. W. Curtis, Representation of Lie Algebras of Classical Type with Applications to Linear Groups (J. Math. and Mech., Vol. 9, 1960, pp. 307-326). | MR | Zbl

[7] W. Haboush, Reductive Groups are Geometrically Reductive (Annals of Math., Vol. 102, 1975, pp. 67-84). | MR | Zbl

[8] W. Haboush, A short Characteristic p Proof of the Kempf Vanishing Theorem (Inventiones Math.).

[9] G. Kempf, Linear Systems on Homogeneous Spaces (Ann. of Math., Vol. 103, 1976, pp. 557-591). | MR | Zbl

[10] G. Kempf, The Grothendieck-Cousin Complex of an Induced Representation (Advances in Math, Vol. 29, 1978, pp. 310-396). | MR | Zbl

[11] R. Steinberg, Prime Power Representations of Finite Linear Groups II (Can. J. Math., Vol. 9, 1957, pp. 347-351). | MR | Zbl

[12] R. Steinberg, Representations of Algebraic Groups (Nagoya Math. J., Vol. 22, 1963, pp. 33-56). | MR | Zbl

[13] M. Sweedler, Hopf Algebras, Benjamin, New York, 1969. | Zbl

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