Contractions of Lie algebras: applications to special functions and separation of variables
Contractions of Lie algebras: applications to special functions and separation of variables
We investigate the consequences of contraction of the Lie algebras of the orthogonal groups to the Lie algebras of the Euclidean groups in terms of separation of variables for Laplace-Beltrami eigenvalue equations, and the solutions of these equations that arise through separation of variables techniques, on the N-sphere and in …