Geometric tri-product of the spin domain and Clifford algebras
Friedman, Yaakov
arXiv, 0510008 / Harvested from arXiv
Text on arXiv
We show that the triple product defined by the spin domain (Bounded Symmetric Domain of type 4 in Cartan's classification) is closely related to the geometric product in Clifford algebras. We present the properties of this tri-product and compare it with the geometric product. The spin domain can be used to construct a model in which spin 1 and spin1/2 particles coexist. Using the geometric tri-product, we develop the geometry of this domain. We present a geometric spectral theorem for this domain and obtain both spin 1 and spin 1/2 representations of the Lorentz group on this domain.
Publié le : 2005-10-02
Classification:  Mathematical Physics,  15A66, 17C90 
@article{0510008,
     author = {Friedman, Yaakov},
     title = {Geometric tri-product of the spin domain and Clifford algebras},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0510008}
}

Friedman, Yaakov. Geometric tri-product of the spin domain and Clifford algebras. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0510008/