no. 4
Linear models for reductive group actions on affine quadrics
Bulletin de la Société Mathématique de France, Tome 122 (1994) no. 4, pp. 505-531. 
@article{BSMF_1994__122_4_505_0,
     author = {Doebeli, Michael},
     title = {Linear models for reductive group actions on affine quadrics},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     pages = {505--531},
     publisher = {Soci\'et\'e math\'ematique de France},
     volume = {122},
     number = {4},
     year = {1994},
     doi = {10.24033/bsmf.2244},
     mrnumber = {95j:14066},
     zbl = {0819.14018},
     language = {en},
     url = {http://www.numdam.org/articles/10.24033/bsmf.2244/}
}
TY  - JOUR
AU  - Doebeli, Michael
TI  - Linear models for reductive group actions on affine quadrics
JO  - Bulletin de la Société Mathématique de France
PY  - 1994
SP  - 505
EP  - 531
VL  - 122
IS  - 4
PB  - Société mathématique de France
UR  - http://www.numdam.org/articles/10.24033/bsmf.2244/
DO  - 10.24033/bsmf.2244
LA  - en
ID  - BSMF_1994__122_4_505_0
ER  - 
%0 Journal Article
%A Doebeli, Michael
%T Linear models for reductive group actions on affine quadrics
%J Bulletin de la Société Mathématique de France
%D 1994
%P 505-531
%V 122
%N 4
%I Société mathématique de France
%U http://www.numdam.org/articles/10.24033/bsmf.2244/
%R 10.24033/bsmf.2244
%G en
%F BSMF_1994__122_4_505_0
Doebeli, Michael. Linear models for reductive group actions on affine quadrics. Bulletin de la Société Mathématique de France, Tome 122 (1994) no. 4, pp. 505-531. doi : 10.24033/bsmf.2244. http://www.numdam.org/articles/10.24033/bsmf.2244/

[1] Asoh (T.). - Compact transformation groups on ℤ2-cohomology spheres with orbit of codimension 1, Hiroshima Math. J., t. 11, 1981, p. 571-616. | MR | Zbl

[2] Borel (A.). - Some remarks about Lie groups transitive on spheres and tori, Bull. Amer. Math. Soc., t. 55, 1949, p. 580-586. | MR | Zbl

[3] Borel (A.). - Le plan projectif des octaves et les sphères comme espaces homogènes, C.R. Acad. Sci. Paris, t. 250, 1950, p. 1378-1381. | MR | Zbl

[4] Borel (A.). - Les bouts des espaces homogènes de groupes de Lie, Ann. of Math., t. 58, 1953, p. 443-457. | MR | Zbl

[5] Borel (A.). - Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts, Ann. of Math., t. 57, 1953, p. 115-207. | MR | Zbl

[6] Borel (A.). - Seminar on Transformation Groups. - Princeton University Press, Princeton, New Jersey, 1960. | MR | Zbl

[7] Bredon (G.E.). - On homogenous cohomology spheres, Ann. of Math., t. 73, 1961, p. 556-565. | MR | Zbl

[8] Dadok (J.). - Orthogonal polar representations, Trans. Am. Math. Soc., t. 288, 1985, p. 125-137. | MR

[9] Dadok (J.) and Kac (V.). - Polar representations, J. Algebra, t. 92, 1985, p. 504-524. | MR | Zbl

[10] Gizatullin (M.H.) and Danilov (V.I.). - Automorphisms of affine surfaces II, Math. USSR Isv., t. 11, 1977, p. 51-98. | MR | Zbl

[11] Kambayashi (T.). - Automorphism group of a polynomial ring and algebraic group action on affine space, J. Algebra, t. 60, 1979, p. 439-451. | MR | Zbl

[12] Knop (F.). - Nichtlinearisierbare Operationen halbeinfacher Gruppen auf affinen Räumen, Invent. math., t. 105, 1991, p. 217-220. | EuDML | MR | Zbl

[13] Kraft (H.). - Geometrische Methoden in der Invariantentheorie, Aspekte der Mathematik D1, Vieweg, Braunschweig/Wiesbaden, 1984. | MR | Zbl

[14] Kraft (H.). - Algebraic automorphisms of affine space, Topological methods in algebraic transformation groups, (eds. H. Kraft, T. Petrie, G. W. Schwarz), Progress in Mathematics, vol. 80, Birkhäuser Verlag, Basel-Boston, 1989, p. 81-105. | MR | Zbl

[15] Kraft (H.), Petrie (T.) and Randall (J.D.). - Quotient Varieties, Adv. Math., t. 74, 1989, p. 145-162. | MR | Zbl

[16] Kraft (H.) and Schwartz (G.W.). - Reductive group actions with 1-dimensional quotient, Inst. Hautes Études Sci. Publ. Math., t. 76, 1992, p. 1-97. | EuDML | Numdam | MR | Zbl

[17] Littelmann (P.). - Koreguläre und äquidimensionale Darstellungen, J. Algebra, t. 123, 1989, p. 193-222. | MR | Zbl

[18] Luna (D.). - Slices étales, Bull. Soc. Math. France, t. 33, 1973, p. 81-105. | EuDML | Numdam | MR | Zbl

[19] Montgomery (D.) and Samelson (H.). - Transformation groups of spheres, Ann. of Math., t. 44, 1943, p. 454-470. | MR | Zbl

[20] Mostow (G.D.). - On covariant fiberings of Klein spaces II, Amer. J. Math., t. 84, 1962, p. 466-474. | MR | Zbl

[21] Poncet (J.). - Groupes de Lie compacts de transformations de l'espace euclidien et les sphères comme espaces homogènes, Comm. Math. Helv., t. 33, 1959, p. 109-120. | EuDML | MR | Zbl

[22] Schwartz (G.W.). - Lifting smooth homotopies of orbit spaces, Inst. Hautes Études Sci. Publ. Math., t. 51, 1978, p. 37-135. | EuDML | Numdam | Zbl

[23] Schwartz (G.W.). - Exotic algebraic group actions, C. R. Acad. Sci. Paris, t. 309, 1989, p. 89-94. | MR | Zbl

[24] Slodowy (P.). - Der Scheibensatz für algebraische Transformations-gruppen, Algebraic Transformation Groups and Invariant Theory, DMV Seminar vol. 13, Birkhäuser Verlag, Basel-Boston, 1989, p. 89-113. | MR | Zbl

[25] Wang (H.C.). - Compact transformation groups of Sn with an (n − 1)-dimensional orbit, Amer. J. Math., t. 82, 1960, p. 698-748. | Zbl

Cité par Sources :