Rotations in the Space of Split Octonions
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-07-01
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The geometrical application of split octonions is considered.
The new representation of products of the basis units of split octonionic having David's star shape (instead of the Fano triangle) is presented.
It is shown that active and passive transformations of coordinates in octonionic “eight-space” are not equivalent.
The group of passive transformations that leave invariant the pseudonorm of split octonions is SO(4,4), while active rotations are done by the direct product of O(3,4)-boosts and real noncompact form of the exceptional group G2.
In classical limit, these transformations reduce to the standard Lorentz group.
American Psychological Association (APA)
Gogberashvili, Merab. 2009. Rotations in the Space of Split Octonions. Advances in Mathematical Physics،Vol. 2009, no. 2009, pp.1-11.
https://search.emarefa.net/detail/BIM-475168
Modern Language Association (MLA)
Gogberashvili, Merab. Rotations in the Space of Split Octonions. Advances in Mathematical Physics No. 2009 (2009), pp.1-11.
https://search.emarefa.net/detail/BIM-475168
American Medical Association (AMA)
Gogberashvili, Merab. Rotations in the Space of Split Octonions. Advances in Mathematical Physics. 2009. Vol. 2009, no. 2009, pp.1-11.
https://search.emarefa.net/detail/BIM-475168
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475168