TY - JOUR
A2 - Lizzi, Fedele
AU - Gogberashvili, Merab
PY - 2009
DA - 2009/07/01
TI - Rotations in the Space of Split Octonions
SP - 483079
VL - 2009
AB - 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.
SN - 1687-9120
UR - https://doi.org/10.1155/2009/483079
DO - 10.1155/2009/483079
JF - Advances in Mathematical Physics
PB - Hindawi Publishing Corporation
KW -
ER -