@article{AFST_1990_5_11_1_140_0,
author = {{\L}awrynowicz, Julian and Rembieli\'nski, Jakub},
title = {On the composition of nondegenerate quadratic forms with an arbitrary index},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {140--168},
publisher = {Universit\'e Paul Sabatier},
address = {Toulouse},
volume = {Ser. 5, 11},
number = {1},
year = {1990},
zbl = {0701.15025},
language = {en},
url = {http://archive.numdam.org/item/AFST_1990_5_11_1_140_0/}
}
TY - JOUR AU - Ławrynowicz, Julian AU - Rembieliński, Jakub TI - On the composition of nondegenerate quadratic forms with an arbitrary index JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 1990 SP - 140 EP - 168 VL - 11 IS - 1 PB - Université Paul Sabatier PP - Toulouse UR - http://archive.numdam.org/item/AFST_1990_5_11_1_140_0/ LA - en ID - AFST_1990_5_11_1_140_0 ER -
%0 Journal Article %A Ławrynowicz, Julian %A Rembieliński, Jakub %T On the composition of nondegenerate quadratic forms with an arbitrary index %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 1990 %P 140-168 %V 11 %N 1 %I Université Paul Sabatier %C Toulouse %U http://archive.numdam.org/item/AFST_1990_5_11_1_140_0/ %G en %F AFST_1990_5_11_1_140_0
Ławrynowicz, Julian; Rembieliński, Jakub. On the composition of nondegenerate quadratic forms with an arbitrary index. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 5, Tome 11 (1990) no. 1, pp. 140-168. http://archive.numdam.org/item/AFST_1990_5_11_1_140_0/
[1] ).-Construction of some normed maps, Bol. Soc. Mat. Mexicana (2), t. 20, 1975, p. 59-75. | MR | Zbl
[2] - On maximal sets of anticommuting matrices, Ibid. (2), t. 23, 1978, p. 61-67. | MR | Zbl
[3] ).-On the Hurwitz problem over an arbitrary field I-II Ibid. (2), 25 1980, 29-51 and (2) , t. 26, 1986, p. 29-41. | MR | Zbl
[4] ).-The theory of spinors, transl. from French Paris : Hermann 1966. | MR | Zbl
[5] ).-The algebraic theory of spinors. Columbia : Columbia Univ. Press 1954. | MR | Zbl
[6] ).-Bilinéarité et géométrie affine attachées aux espaces de spineurs complexes, minkowskiens ou autres, Ann. Inst. Henri Poincaré, t. 34, 1981, p. 351-372. | Numdam | MR | Zbl
[7] Construction d'algèbres de Lie graduées orthosymplectiques et conformosymplectiques minkowskiennes. - in : Seminar on deformations, Proceeding, Łódź-Warsaw 1982-84, Lecture Notes in Math.1165, Berlin-Heidelberg-New York-TokyoSpringer : 1985, p. 52-83. | MR | Zbl
[8] ), ).-Forms over rings with involution, J. Algebra, t. 12, 1969, p. 79-104. | MR | Zbl
[9] ), ). - Orthogonal designs. Lecture Notes in Pure and Applied Math. 45, New York-Basel : Marcel Dekker 1979. | MR | Zbl
[10] ).-A unified laguage for mathematics and physics, in : Clifford algebras and their applications in mathematical physics, Proceeding, Canterbury 1985 Dordrecht : Reidel 1986 p. 1-23. | MR | Zbl
[11] ).- Uber die Komposition der quadratischen Formen. Math. Ann. 88 1923, p. 1-25; reprinted in : , Mathematische Werke II. BaselBirkhäuser 1933 p. 641-666. | JFM
[12] ), ), ).- A field equation defined by a Hurwitz pair, in Proc. of the 13th Winter School on Abstract Analysis, Srni 1985. Suppl. Rend. Circ. Mat. Palermo (2) 9 1985 p. 117-128. | MR | Zbl
[13] .- Partial differential equations connected with some Clifford structures and the related quasiconformal mappings, in Proc. Conf. "Metodi di Analisi Reale nelle Equaziono alle Derivate Parziali" Cagliari 1985, to appear.
[14] ), ).- Hurwitz pairs equipped with complex structures, in : Seminar on deformations, Proceedings, Łódź-Warsaw-1982-84-Lecture Notes in Math. 1165, Berlin-Heidelberg-New-York-Tokyo : Springer 1985, p. 184-195. | MR | Zbl
[15] .- Supercomplex vector spaces and spontaneous symmetric breaking, in : Seminari di Geometria 1984, Bologna : Università di Bologna 1985, p. 131-154. | MR | Zbl
[16] .- Pseudo-euclidean Hurwitz pairs and generalized Fueter Equations. (a) Inst. Math. Polish Acad. Sci. Preprint p. 355, II + 10 1985 (b) In : Clifford algebras and their applications in mathematical physics, Proceedings, Canterbury 1985, Dordrecht : Reidel 1986 p.39-48. | MR | Zbl
[17] .- Pseudo-euclidean Hurwitz pairs and the Kaluza-Klein theories. J. Phys. A. Math. Gen., to appear. | MR
[18] .- Complete classification for pseudo-euclidean Hurwitz pairs including the symetry operations. Bull. Soc. Sci. Lettres Łódź 36, no. 29 (Série : Recherches sur les déformations 3, no. 39) 1986, p. 15. | Zbl
[19] ) ).- The correspondance between type-changing transformations of pseudo-euclidean Hurwitz pairs and Clifford algebras in preparation.
[20] . - The algebraic theory of quadratic forms, Reading, MA : W.A. Benjamin, Inc. 1973.. | Zbl
[21] ).-Sur le théorème de Hurwitz-Radon pour la composition des formes quadratique, Comment. Math. Helv., t. 21, 1948, p. 261-269. | MR | Zbl
[22] ). - Topological geometry, 2nd ed. Combridge : Cambridge Univ. Press 1981. | MR | Zbl
[23] ). - Advanced quantum theory, Reading, MA : Addison-Wesley Publ. Co. 1965. | MR | Zbl
[24] ).-Spaces of similarities I-II, J. Algebra 46 1977, p. 148-164 and p. 165-181. | MR | Zbl
[25] .- Spaces of similarities IV, Pac. J. Math, t. 69, 1977, p. 223-224. | MR | Zbl
[26] .- Hasse principle for the Hurwitz problem, J. reine angew. Math., t. 301, 1978, p. 179-190. | MR | Zbl
[27] .- Products of sums of squares, Expo. Math, t. 2, 1984, p. 235-261. | MR | Zbl
[28] ), ), ), ).- A geometric approach to the Kadomtsev-Petviasvili system I, Proc. Inst. Nat. Sci. Coll. Hum. Sci. Nihon Univ, t. 21, 1986, p. 11-34.
[29] .- A geometric approach to the Kadomtsev-Petviasvili system II. Ibid., to appear.
[30] ), ). - Spaces of similarities III. J. Algebra t. 46 1977 p. 182-188. | MR | Zbl
