Invariant tensors for simple groups
de Azcarraga, J. A. ; Macfarlane, A. J. ; Mountain, A. J. ; Bueno, J. C. Perez
arXiv, 9706006 / Harvested from arXiv
Text on arXiv
The forms of the invariant primitive tensors for the simple Lie algebras A_l, B_l, C_l and D_l are investigated. A new family of symmetric invariant tensors is introduced using the non-trivial cocycles for the Lie algebra cohomology. For the A_l algebra it is explicitly shown that the generic forms of these tensors become zero except for the l primitive ones and that they give rise to the l primitive Casimir operators. Some recurrence and duality relations are given for the Lie algebra cocycles. Tables for the 3- and 5-cocycles for su(3) and su(4) are also provided. Finally, new relations involving the d and f su(n) tensors are given.
Publié le : 1997-06-03
Classification:  Mathematical Physics,  High Energy Physics - Theory,  Mathematics - Quantum Algebra 
@article{9706006,
     author = {de Azcarraga, J. A. and Macfarlane, A. J. and Mountain, A. J. and Bueno, J. C. Perez},
     title = {Invariant tensors for simple groups},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9706006}
}

de Azcarraga, J. A.; Macfarlane, A. J.; Mountain, A. J.; Bueno, J. C. Perez. Invariant tensors for simple groups. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9706006/