Number Operator Algebras and deformations of epsilon-algebras
Abstract
Description
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.
17 pages, no figure. To appear in Letters in Mathematical Physics
17 pages, no figure. To appear in Letters in Mathematical Physics