Symmetry in Nonlinear Mathematical Physics - 2009

Rutwig Campoamor-Stursberg (Instituto de Matemática Interdisciplinar, Universidad Complutense de Madrid, Spain)

Internal labelling problem, Poisson structures and Racah operators

Criteria on the commutativity of polynomials in enveloping algebras of Lie algebras in terms of an involution conditions with respect to Berezin brackets are analyzed. As application, it is shown that the commutativity requirement of missing label and Racah operators in the internal labelling problem can be solved analytically.