2000/06/13 by Fabien Besnard, Besnard, Fabien
Mathematics · Physics and Astronomy · #16Z05 #81R99 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #math-ph #math.MP #math.QA #msc:16Z05 #msc:81R99
paper · pdf · doi:10.48550/arxiv.math-ph/0006012
17 pages, no figure. To appear in Letters in Mathematical Physics
openalex publication_date 2000/06/13 · arxiv created 2001/03/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.