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Geometric reductivity over arbitrary base. (English) Zbl 0371.14009

##### MSC:
 14D20 Algebraic moduli problems, moduli of vector bundles 14L99 Algebraic groups
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##### References:
 [1] Borel, A, Linear representations of semi-simple algebraic groups, () · Zbl 0311.20022 [2] Chevalley, C, Classification des groupes de Lie algébriques, () · JFM 61.0612.03 [3] {\scM. Demazure and P. Gabriel}, “Groupes algébriques,” Tome I, Masson, Paris, North-Holland, Amsterdam. [4] {\scM. Demazure and A. Grothendieck}, “SGA3, Schémas en Groupes,” Lecture Notes in Mathematics, Vols. 151, 152, 153, Springer-Verlag, Berlin. [5] Demazure, M, Schémas en groupes réductifs, Bull. soc. math. France, 93, 365-413, (1965) · Zbl 0163.27402 [6] {\scA. Grothendieck and J. Dieudonné}, Éléments de Géométrie algébrique (EGA), Inst. des Hautes Études Sci., Publ. Math. [7] Haboush, W.J, Reductive groups are geometrically reductive, Ann. math., 102, 67-83, (1975) · Zbl 0316.14016 [8] Kaplansky, I, Projective modules, Annals of math., 68, 372-377, (1958) · Zbl 0083.25802 [9] Mumford, D, Geometric invariant theory, () · Zbl 0147.39304 [10] Nagata, M, Invariants of a group in an affine ring, J. math. Kyoto univ., 3, 369-377, (1963) · Zbl 0146.04501 [11] Raynaud, M, Flat modules in algebraic geometry, (), 255-275, Oslo · Zbl 0244.14002 [12] Seshadri, C.S, Mumford’s conjecture for GL(2) and applications, (), 347-371 · Zbl 0194.51702 [13] Seshadri, C.S, Quotient spaces modulo reductive algebraic groups, Ann. math., 95, 511-556, (1972) · Zbl 0241.14024 [14] Steinberg, R, Prime power representations of finite linear groups II, Canad. J. math., 9, 347-351, (1957) · Zbl 0079.25601 [15] Steinberg, R, Representations of algebraic groups, Nagoya math. J., 22, 33-56, (1963) · Zbl 0271.20019
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