In a paper published by Ranga Rao [4] in the Annals of Mathematics, it is shown that the invariant measure carried by a nilpotent orbital can be extended to an invariant distribution on the ambient Lie algebra. This paper provides an alternative proof by a method proposed by Gordon Savin.

The apparent Lorentz invariance of the laws of physics does not imply that space-time is indeed minkowskian. Matter made of solutions of Lorentz-invariant equations would feel a relativistic space-time even if the actual space-time had a quite different geometry (f.i. a galilean space-time). A typical example is provided by sine-Gordon solitons in a galilean world. A " sub-world " restricted to...

1 Department of Psychiatry, Singapore General Hospital, Singapore 2 Department of Medicine, National University of Singapore Address for Correspondence: Dr Ng Beng Yeong, Senior Consultant Psychiatrist, Department of Psychiatry, Singapore General Hospital, Outram Road, Singapore 169608. Email: [email protected] Sir Gordon Arthur Ransome was born in Salop, England, in 1910.1 He came to Si...

On embarking upon such a multifactorial, professional degree as Pharmacy, students often find it difficult to meld the scientific- and practice-based components of the course. In final year of the undergraduate Masters of Pharmacy degree (MPharm) within the School of Pharmacy and Life Sciences at Robert Gordon University (RGU), students undertake a research project within a specific area. The a...

We prove the Coleman’s conjecture on the equivalence between the massless Sine-Gordon model with finite volume interaction and the Thirring model with a finite volume mass term.