Anisotropic complex structure on the pseudo-Euclidean Hurwitz pairs

• Autorzy: W. Królikowski
• Języki publikacji: EN

Abstrakty

EN

The concept of supercomplex structure is introduced in the pseudo-Euclidean Hurwitz pairs and its basic algebraic and geometric properties are described, e.g. a necessary and sufficient condition for the existence of such a structure is found.

Kategorie tematyczne

• 15A63: Quadratic and bilinear forms, inner products \SeeMainly{}
• 15A66: Clifford algebras, spinors

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1991
• Tom: 55
• Numer: 1
• Strony: 225-240

Daty

wydano

1991

otrzymano

1990-09-05

Twórcy

autor

W. Królikowski

• Institute of Mathematics, Polish Academy of Sciences, Łódź Branch, Narutowicza 56, 90-136 Łódź, Poland

Bibliografia

• [1] A. Hurwitz, Über die Komposition der quadratischen Formen von beliebig vielen Variablen, Nachr. Königl. Gesell. Wiss. Göttingen Math.-Phys. Kl. 1898, 308-316; reprinted in: A. Hurwitz, Mathematische Werke II, Birkhäuser, Basel 1933, 565-571.
• [2] A. Hurwitz, Über die Komposition der quadratischen Formen, Math. Ann. 88 (1923), 1-25; reprinted in: A. Hurwitz, Mathematische Werke II, Birkhäuser, Basel 1933, 641-666.
• [3] J. Ławrynowicz and J. Rembieliński, Hurwitz pairs equipped with complex structures, in: Seminar on Deformations, Łódź - Warsaw 1982/84, Proceedings, J. Ławrynowicz (ed.), Lecture Notes in Math. 1165, Springer, Berlin 1985, 184-197.
• [4] J. Ławrynowicz and J. Rembieliński, Pseudo-Euclidean Hurwitz pairs and the Kałuża-Klein theories, J. Phys. A Math. Gen. 20 (1987), 5831-5848.
• [5] J. Ławrynowicz and J. Rembieliński, Supercomplex vector spaces and spontaneous symmetry breaking, in: Seminari di Geometria 1984, CNR ed., Università di Bologna, Bologna 1985, 131-154.