On the composition of nondegenerate quadratic forms with an arbitrary index
TL;DR: In this article, l'accès aux archives de la revue « Annales de la faculté des sciences de Toulouse » (http://picard.ups-tlse.fr/~annales/) implique l’accord avec les conditions générales d'utilisation.
read more
Abstract: L’accès aux archives de la revue « Annales de la faculté des sciences de Toulouse » (http://picard.ups-tlse.fr/~annales/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/conditions). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
Infinite dimensional quadratic forms admitting composition
Alberto Elduque,Alberto Elduque,José María López Pérez +2 more
- 01 Jan 1997
TL;DR: In this paper, those composition algebras with a one-sided unit element are characterized and examples are given of arbitrary infinite dimension, where the unit element is a unit unit element.
Stochastical Mechanics of Particle Systems in Clifford-Analytical Formulation Related to Hurwitz Pairs of Bidimension (8,5)
Julian Ławrynowicz,Leszek Wojtczak,Shozo Koshi,Osamu Suzuki +3 more
- 01 Jan 1994
TL;DR: Gaveau and Wojtczak as discussed by the authors proposed a formulation of the clasical mechanics in five dimensions, which is a non-trivial generalization of the relativistic forces as a result of the appearance of the fifth dimension.
14
Hermitian Hurwitz Pairs
Izumi Furuoya,Shôji Kanemaki,Julian Ławrynowicz,Osamu Suzuki +3 more
- 01 Jan 1994
TL;DR: In this article, the composition problem of hermitian forms and quadratic forms is completely solved, which is related to the classical Hurwitz problem of composition of quadratic forms and the recent results due to J. Ławrynowicz, J. Rembielinski, and P. Yiu.
11
The Duality Theorem for the Hurwitz Pairs of Bidimension (8,5) and the Penrose Theory
Julian Ławrynowicz,Osamu Suzuki +1 more
- 01 Jan 1994
TL;DR: In this article, the authors give a specification of the general duality theorem due to Furuoya, Kanemaki, Ławrynowicz, Porter, Ramirez de Arellano and Rembielinski.
7
Supercomplex structures, surface soliton equations, and quasiconformal mappings
TL;DR: In this paper, the authors give a systematic treatment of Hurwitz pairs in connection with algebra, complex analysis, and field theory, indicating possible generalizations to the case of the Hurwitz triples.
7
References
Über die Komposition der quadratischen Formen
TL;DR: In den Nachrichten der k. Gesellschaft der Wissenschaften zu Gottingen vom Jahre 1898, S. 309-316 [diese Werke, Bd. II, s. 365-571] habe ich die folgende Aufgabe behandelt.
311
Pseudo-Euclidean Hurwitz pairs and the Kaluza-Klein theories
J Lawrynowicz,J Rembielinski +1 more
TL;DR: Following the geometrical concept of pseudo-Euclidean Hurwitz pairs, the authors given their systematic classification according to the relationship with real Clifford algebras Next, a generalisation of the pairs to the curvilinear case is given and it is shown that they provide a convenient framework for the Kaluza-Klein theories as discussed by the authors.
28
Hurwitz pairs equipped with complex structures
Julian Ławrynowicz,Jakub Rembieliński +1 more
- 01 Jan 1985
TL;DR: In this paper, the authors reformulate the Hurwitz problem and its solution in the language of Clifford algebras, introducing the notion of Hurwitz pair of two real unitary vector spaces V and S, and study the dependence of these pairs on induced symplectic decomposition.
20
Pseudo-Euclidean Hurwitz Pairs and Generalized Fueter Equations
Julian Ławrynowicz,Jakub Rembieliński +1 more
- 01 Jan 1986
TL;DR: In this article, the authors introduced the notion of the Hurwitz pair of two real unitary vector spaces V and S. They have studied the dependence of these pairs on induced symplectic decomposition and arrived in a natural way at a complex geometry induced by a given symplectic decompposition with a distinguished fixed direction in S, that introduced a kind of anisotropy.
18
Related Papers (5)
Julian Ławrynowicz,Jakub Rembieliński +1 more
- 01 Jan 1985
Julian Ławrynowicz,Jakub Rembieliński +1 more
- 01 Jan 1986
Julian Ławrynowicz
- 01 Jan 1988
Izumi Furuoya,Shôji Kanemaki,Julian Ławrynowicz,Osamu Suzuki +3 more
- 01 Jan 1994