Algebra

1105 Submissions

[2] viXra:1105.0009 [pdf] submitted on 6 May 2011

Why the Colombeau Algebras Cannot Handle Arbitrary Lie Groups ?

Authors: Elemér E Rosinger
Comments: 18 pages.

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.
Category: Algebra

[1] viXra:1105.0007 [pdf] submitted on 4 May 2011

Why the Colombeau Algebras Cannot Formulate, Let Alone Prove the Global Cauchy-Kovalevskaia Theorem ?

Authors: Elemér E Rosinger
Comments: 9 pages.

It is briefly shown that, due to the growth conditions in their definition, the Colombeau algebras cannot handle arbitrary analytic nonlinear PDEs, and in particular, cannot allow the formulation, let alone, give the proof of the global Cauchy-Kovalevskaia theorem.
Category: Algebra