Maximal Abelian Subgroups of the Isometry and Conformal Groups of Euclidean and Minkowski Spaces
Thomova, Zora ; Winternitz, Pavel
arXiv, 9707005 / Harvested from arXiv
Text on arXiv
The maximal Abelian subalgebras of the Euclidean e(p,0) and pseudoeuclidean e(p,1)Lie algebras are classified into conjugacy classes under the action of the corresponding Lie groups E(p,0) and E(p,1), and also under the conformal groups O(p+1,1) and O(p+1,2), respectively. The results are presented in terms of decomposition theorems. For e(p,0) orthogonally indecomposable MASAs exist only for p=1 and p=2. For e(p,1), on the other hand, orthogonally indecomposable MASAs exist for all values of p. The results are used to construct new coordinate systems in which wave equations and Hamilton-Jacobi equations allow the separation of variables.
Publié le : 1997-07-04
Classification:  Mathematical Physics 
@article{9707005,
     author = {Thomova, Zora and Winternitz, Pavel},
     title = {Maximal Abelian Subgroups of the Isometry and Conformal Groups of
  Euclidean and Minkowski Spaces},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9707005}
}

Thomova, Zora; Winternitz, Pavel. Maximal Abelian Subgroups of the Isometry and Conformal Groups of
  Euclidean and Minkowski Spaces. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9707005/