Why the Colombeau Algebras Cannot Handle Arbitrary Lie Groups ?
نویسنده
چکیده
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. “History is written with the feet ...” Ex-Chairman Mao, of the Long March fame ... Science is not done scientifically, since it is mostly done by non-scientists ...
منابع مشابه
Group invariants in algebras of generalized functions
We study invariance properties of Colombeau generalized functions under actions of smooth Lie transformation groups. Several characterization results analogous to the smooth setting are derived and applications to generalized rotational invariance are given. Mathematics Subject Classification (2000): Primary: 46F30; secondary: 58E40,46T30, 35A30
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