Number Operator Algebras and deformations of epsilon-algebras
Besnard, Fabien
arXiv, 0006012 / Harvested from arXiv
Text on arXiv
It is well known that the Lie-algebra structure on quantum algebras gives rise to a Poisson-algebra structure on classical algebras as the Planck constant goes to 0. We show that this correspondance still holds in the generalization of super- algebra introduced by Scheunert, called epsilon-algebra. We illustrate this with the example of Number Operator Algebras, a new kind of object that we have defined and classified under some assumptions.
Publié le : 2000-06-13
Classification:  Mathematical Physics,  Mathematics - Quantum Algebra,  81R99,  16Z05 
@article{0006012,
     author = {Besnard, Fabien},
     title = {Number Operator Algebras and deformations of epsilon-algebras},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0006012}
}

Besnard, Fabien. Number Operator Algebras and deformations of epsilon-algebras. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0006012/