Clifford algebras obtained by twisting of group algebras
Albuquerque, H. ; Majid, S.
arXiv, 0011040 / Harvested from arXiv
Text on arXiv
We investigate the construction and properties of Clifford algebras by a similar manner as our previous construction of the octonions, namely as a twisting of group algebras of Z_2^n by a cocycle. Our approach is more general than the usual one based on generators and relations. We obtain in particular the periodicity properties and a new construction of spinors in terms of left and right multiplication in the Clifford algebra.
Publié le : 2000-11-07
Classification:  Mathematics - Quantum Algebra,  High Energy Physics - Theory,  Mathematical Physics 
@article{0011040,
     author = {Albuquerque, H. and Majid, S.},
     title = {Clifford algebras obtained by twisting of group algebras},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0011040}
}

Albuquerque, H.; Majid, S. Clifford algebras obtained by twisting of group algebras. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0011040/