Number Operator Algebras and deformations of epsilon-algebras

Details Number Operator Algebras and deformations of epsilon-algebras Number Operator Algebras and deformations of epsilon-algebras

2000-06-13

arxiv.org/abs/math-ph/0006012v3

Physics

Mathematical Physics

17 pages, no figure. To appear in Letters in Mathematical Physics

Scientific paper

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.

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