Noncommutative physics on Lie algebras, Z_2^n lattices and Clifford algebras
| dc.creator | Majid, S. | |
| dc.date | 2003-02-16 | |
| dc.date | 2003-10-09 | |
| dc.date.accessioned | 2026-07-07T04:14:52Z | |
| dc.date.available | 2026-07-07T04:14:52Z | |
| dc.description | We survey noncommutative spacetimes with coordinates being enveloping algebras of Lie algebras. We also explain how to do differential geometry on noncommutative spaces that are obtained from commutative ones via a Moyal-product type cocycle twist, such as the noncommutative torus, $θ$-spaces and Clifford algebras. The latter are noncommutative deformations of the finite lattice $(\Z_2)^n$ and we compute their noncommutative de Rham cohomology and moduli of solutions of Maxwell's equations. We exactly quantize noncommutative U(1)-Yang-Mills theory on $\Z_2\times\Z_2$ in a path integral approach. | |
| dc.description | Final version to appear in Clifford Algebras: Application to Mathematics, Physics, and Engineering, ed. R. Ablamowicz, Birkhauser (2003); added a couple of references and fixed typos (no significant revision). 24 pages, 1 .eps figure | |
| dc.identifier | https://arxiv.org/abs/hep-th/0302120 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0302120 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/51799 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | Noncommutative physics on Lie algebras, Z_2^n lattices and Clifford algebras | |
| dc.type | text |