Anisotropic complex structure on the pseudo-Euclidean Hurwitz pairs

W. Królikowski

Annales Polonici Mathematici (1991)

  • Volume: 55, Issue: 1, page 225-240
  • ISSN: 0066-2216

Abstract

top
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.

How to cite

top

W. Królikowski. "Anisotropic complex structure on the pseudo-Euclidean Hurwitz pairs." Annales Polonici Mathematici 55.1 (1991): 225-240. <http://eudml.org/doc/262240>.

@article{W1991,
abstract = {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.},
author = {W. Królikowski},
journal = {Annales Polonici Mathematici},
keywords = {anisotropic complex structure; super-complex structure; pseudo-Euclidean Hurwitz pairs},
language = {eng},
number = {1},
pages = {225-240},
title = {Anisotropic complex structure on the pseudo-Euclidean Hurwitz pairs},
url = {http://eudml.org/doc/262240},
volume = {55},
year = {1991},
}

TY - JOUR
AU - W. Królikowski
TI - Anisotropic complex structure on the pseudo-Euclidean Hurwitz pairs
JO - Annales Polonici Mathematici
PY - 1991
VL - 55
IS - 1
SP - 225
EP - 240
AB - 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.
LA - eng
KW - anisotropic complex structure; super-complex structure; pseudo-Euclidean Hurwitz pairs
UR - http://eudml.org/doc/262240
ER -

References

top
  1. [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. [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. [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. [4] J. Ławrynowicz and J. Rembieliński, Pseudo-Euclidean Hurwitz pairs and the Kałuża-Klein theories, J. Phys. A Math. Gen. 20 (1987), 5831-5848. Zbl0654.15021
  5. [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. Zbl0605.30050

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.