@article{CM_1986__59_1_113_0, author = {Berger, Marc A. and Friedland, Shmuel}, title = {The generalized {Radon-Hurwitz} numbers}, journal = {Compositio Mathematica}, pages = {113--146}, publisher = {Martinus Nijhoff Publishers}, volume = {59}, number = {1}, year = {1986}, mrnumber = {850125}, zbl = {0599.10014}, language = {en}, url = {http://archive.numdam.org/item/CM_1986__59_1_113_0/} }
Berger, Marc A.; Friedland, Shmuel. The generalized Radon-Hurwitz numbers. Compositio Mathematica, Tome 59 (1986) no. 1, pp. 113-146. http://archive.numdam.org/item/CM_1986__59_1_113_0/
[1] Vector fields on spheres, Ann. Math. 75 (1962) 603-632. | MR | Zbl
:[2] Geometric dimension of bundles over RPn, Proc. of the International Conference on Prospects of Math., Research Institute for Mathematical Sciences, Kyoto Univ., April 1973, 1-17. | MR | Zbl
:[3] Construction of some normed maps, Bol. Soc. Mat. Mexicana 23 (1978) 61-67. | MR | Zbl
:[4] Algebra lineal, campos vectoriales e inmersiones, III ELAM, IMPA, Rio de Janeiro, 1978.
:[5] On maximal sets of anticommuting matrices, Bol. Soc. Mat. Mexicana 23 (1978) 61-67. | MR | Zbl
:[6] On the Hurwitz problem over an arbitrary field I, Bol. Soc. Mat. Mexicana 25 (1980) 28-51. | MR | Zbl
:[7] On the Hurwitz problem over an arbitrary field II, Bol. Soc. Mat. Mexicana 26 (1981) 29-41. | MR | Zbl
:[8] Über Systems reeler algebraischer Gleichungen, Comp. Math. 7 (1939-40) 1-19. | JFM | Numdam | MR | Zbl
:[9] Projective space immersions, bilinear maps and stable homotopy groups of spheres, Lecture Notes in Mathematics, Vol. 168, Springer, Berlin, 1970, 11-24. | MR | Zbl
:[10] On the classification of geometric algebras, published as paper XLIII in Mathematical Papers (ed. R. Tucker), Macmillan, London, 1882.
:[11] Gruppentheoretische Beweis des Satzes von Hurwitz-Radon über die Komposition quadratischer Formen, Comment. Math. Helvet. 15 (1942-43) 358-366. | MR | Zbl
:[12] Simultaneous similarity of matrices, Adv. Math. 50 (1983) 189-265. | MR | Zbl
:[13] On the crossing rule, Comm. Pure Appl. Math. (1984) 19-37. | MR | Zbl
, and :[14] Orthogonal Designs, Marcel Dekker, New York, 1979. | MR | Zbl
and :[15] The generalized vector field problem and bilinear maps, Bol. Soc. Mat. Mexicana 14 (1969) 65-69. | Zbl
and :[16] Ein topologischer Beitrag zur reelen Algebra, Comment. Math. Helvet. 13 (1940-41) 219-239. | JFM | MR | Zbl
:[17] Über die Komposition der quadratische Formen von beliebig vielen variabeln, Nachr. K. Gessellsch. Gottingen M. Ph. K1. (1898) 309-316. | JFM
:[18] Über die Komposition der quadratischen Formen, Math. Ann. 88 (1923) 1-25. | JFM | MR
:[19] Non-singular bilinear forms and vector bundles over Pn, Ph.D. dissertation, Princeton University, 1966.
:[20] Construction of nonsingular bilinear maps, Topology 6 (1967) 423-426. | MR | Zbl
:[21] Topological methods for studying the composition of quadratic forms, Canad. Math. Soc. Conf. Proc. 4 (1984) 173-192. | MR | Zbl
:[22] Some new results on composition of quadratic forms, Invent. Math., 79 (1985) 467-474. | MR | Zbl
:[23] Lineare scharen orthogonalen matrizen, Abh. Math. Sem. Univ. Hamburg 1 (1922) 2-14. | JFM
:[24] Products of sums of squares, Expos. Math., 2 (1984) 235-261. | MR | Zbl
:[25] Richtungsfelder und Fernparallelismus in n-dimensionalen Mannigfaltigkeiten, Comment. Math. Helvet. 8 (1936) 305-353. | JFM | MR | Zbl
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