In earlier work (*) we studied an extension of the canonical symplectic structure in the cotangent bundle of an affine space ${ \cal Q}={ \bf R}^N$, by additional terms implying the Poisson non-commutativity of both configuration and momentum variables. In this article, we claim that such an extension can be done consistently when ${ \cal Q}$ is a Lie group $G$. -- (*) : F.J.Vanhecke, C.Sigaud and A.R.da Silva, arXiv:math-phys/0502003 and Braz.J.Phys.{ \bf 36},no IB,194(2006)
Categories: math-ph math.MP