Some aspects of noncommutative geometry and physics
Dimakis, A. ; Muller-Hoissen, F.
arXiv, 9712004 / Harvested from arXiv
Text on arXiv
An introduction is given to some selected aspects of noncommutative geometry. Simple examples in this context are provided by finite sets and lattices. As an application, it is explained how the nonlinear Toda lattice and a discrete time version of it can be understood as generalized sigma-models based on noncommutative geometries. In particular, in this way one achieves a simple understanding of the complete integrability of the Toda lattice. Furthermore, generalized metric structures on finite sets and lattices are briefly discussed.
Publié le : 1997-12-01
Classification:  Mathematical Physics,  General Relativity and Quantum Cosmology,  High Energy Physics - Theory,  Mathematics - Quantum Algebra,  Nonlinear Sciences - Exactly Solvable and Integrable Systems 
@article{9712004,
     author = {Dimakis, A. and Muller-Hoissen, F.},
     title = {Some aspects of noncommutative geometry and physics},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9712004}
}

Dimakis, A.; Muller-Hoissen, F. Some aspects of noncommutative geometry and physics. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9712004/