OneParameterAlgebra

OneParameterAlgebra[ig]
gives a base for the algebra defined by the r-parametric infinitesimal generator ig.
OneParameterAlgebra[{{ig, {conditions..}}..}]
gives a base for the algebras defined by each of the r-parametric infinitesimal generators ig in the set along with their conditions.
  • ig must be an inifinitesimal generator containing r constants denoted by the symbol Const.
  • OneParameterAlgebra will give a set of r infinitesimal generators. This command also handles infinite dimensional operators. The symbol FreeFunc denotes the infinite parametrization on this situation.
  • conditions could be, for instance, a set of equations that correspond to each infinitesimal generator ig in the list.