On quadratic and nonquadratic forms: Application to nonbijective R^{2m} -> R^{2m-n} transformations
Kibler, Maurice
arXiv, 9612002 / Harvested from arXiv
Text on arXiv
Hurwitz transformations are defined as specific automorphisms of a Cayley-Dickson algebra. These transformations generate quadratic and nonquadratic forms. We investigate here the Hurwitz transformations corresponding to Cayley-Dickson algebras of dimensions 2m = 2, 4 and 8. The Hurwitz transformations which lead to quadratic forms are discussed from geometrical and Lie-algebraic points of view. Applications to number theory and dynamical systems are briefly examined.
Publié le : 1996-12-02
Classification:  Mathematics - Differential Geometry,  Mathematical Physics,  Quantum Physics 
@article{9612002,
     author = {Kibler, Maurice},
     title = {On quadratic and nonquadratic forms: Application to nonbijective R^{2m}
  -> R^{2m-n} transformations},
     journal = {arXiv},
     volume = {1996},
     number = {0},
     year = {1996},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9612002}
}

Kibler, Maurice. On quadratic and nonquadratic forms: Application to nonbijective R^{2m}
  -> R^{2m-n} transformations. arXiv, Tome 1996 (1996) no. 0, . http://gdmltest.u-ga.fr/item/9612002/