Why the Colombeau Algebras Cannot Handle Arbitrary Lie Groups ?

Elemer Elad Rosinger (1)

1 Department of Mathematics and Applied Mathematics [Pretoria]

It is briefly shown that, due to the growth conditions in their definition, the Colombeau algebras cannot handle arbitrary Lie groups, and in particular, cannot allow the formulation, let alone, solution of Hilbert's Fifth Problem.

Domaines: Mathématiques générales [math.GM]

Elemer Elad Rosinger. Why the Colombeau Algebras Cannot Handle Arbitrary Lie Groups ?. 2011. ⟨hal-00591354⟩