English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

A realization of the Lie algebra associated to a Kantor triple system

MPS-Authors
/persons/resource/persons20714

Palmkvist,  Jakob
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Locator
There are no locators available
Fulltext (public)

jmp023505.pdf
(Publisher version), 98KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Palmkvist, J. (2006). A realization of the Lie algebra associated to a Kantor triple system. Journal of Mathematical Physics, 47(2): 023505.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-4AAD-A
Abstract
We present a nonlinear realization of the 5-graded Lie algebra associated to a Kantor triple system. Any simple Lie algebra can be realized in this way, starting from an arbitrary 5-grading. In particular, we get a unified realization of the exceptional Lie algebras [fraktur f]4,[fraktur e]6,[fraktur e]7,[fraktur e]8, in which they are respectively related to the division algebras [openface R],[openface C],[openface H],[openface O]