Research Article
BibTex RIS Cite

Generalized cross product in R 6 and R m , m= n(n - 1)/2

Year 1990, Volume: 39 , - , 01.01.1990

Bülent Karakaş

https://doi.org/10.1501/Commua1_0000000531

Abstract

In this study in the space R®, the cross-product was defined as analogous vector-product in R3. We showed that this product makes R3 a Lie algebra. Therefore, it was showed that the Lie algebras (R®,0) and (A4, [,]) are isomorphic. As a generalization, in the space of dimension m — n (n -l)/2, cross-product can be given as
Rm x Rm -> Rm , xoy = J” 1 [J(X), J(Y)] where J — Rm -> An is Lie algebra isomorphism. At the end, we showed that the cross - product we defined is vector product well known for n = 3.

Keywords

space analogous algebras

References

  • Communications, Series A1:Mathematics and Statistics

Year 1990, Volume: 39 , - , 01.01.1990

Bülent Karakaş

https://doi.org/10.1501/Commua1_0000000531

Abstract

References

  • Communications, Series A1:Mathematics and Statistics
There are 1 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

Bülent Karakaş This is me

Publication Date January 1, 1990
Submission Date January 1, 1990
Published in Issue Year 1990 Volume: 39

Cite

APA Karakaş, B. (1990). Generalized cross product in R 6 and R m , m= n(n - 1)/2. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 39. https://doi.org/10.1501/Commua1_0000000531
AMA Karakaş B. Generalized cross product in R 6 and R m , m= n(n - 1)/2. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. January 1990;39. doi:10.1501/Commua1_0000000531
Chicago Karakaş, Bülent. “Generalized Cross Product in R 6 and R M , M= n(n - 1)/2”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 39, January (January 1990). https://doi.org/10.1501/Commua1_0000000531.
EndNote Karakaş B (January 1, 1990) Generalized cross product in R 6 and R m , m= n(n - 1)/2. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 39
IEEE B. Karakaş, “Generalized cross product in R 6 and R m , m= n(n - 1)/2”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 39, 1990, doi: 10.1501/Commua1_0000000531.
ISNAD Karakaş, Bülent. “Generalized Cross Product in R 6 and R M , M= n(n - 1)/2”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 39 (January 1990). https://doi.org/10.1501/Commua1_0000000531.
JAMA Karakaş B. Generalized cross product in R 6 and R m , m= n(n - 1)/2. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1990;39. doi:10.1501/Commua1_0000000531.
MLA Karakaş, Bülent. “Generalized Cross Product in R 6 and R M , M= n(n - 1)/2”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 39, 1990, doi:10.1501/Commua1_0000000531.
Vancouver Karakaş B. Generalized cross product in R 6 and R m , m= n(n - 1)/2. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1990;39.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.