To sum it up,the theory has three main points:(1) Central item. There must be a leading discipline or doctrine in the interdisciplinary and multidisciplinary studies and the chief expert must be appointed accordingly.
(2) Context. It refers to the fields relevant to the Central Item,by which the structure of personnel and project proposals can be judged and evaluated.
It is pointed out that the prequantization Hilbert space is the unitary representation of the conformal group where the centre term of Virasoro algebra does not exist but this representation is reducible.
One is the holomorphic vector bundle, whose Ricci curvature is just the central terms of the Virasoro algebra and super-Virasoro algebra corresponding to the heterotic string. The other is the complex line bundle,which can be interpret- ed as the ghost vaccum for the. theory.
Auslander-Reiten sequences are the central item of Auslander-Reiten theory, which is one of the most important techniques for the investigation of the structure of abelian categories.
The central item is the so called concept, which is a pair of subsets: A subset of molecules and a subset of properties which correspond to each other.
In the paper we give a new transformation in the reduced gravity,which is associatedwith the Virasoro algebra without the center term.To compare with the Geroch group it iseasy to establish the relationship between the Virasoro algebra and the Kac-Moody algebra inthe theory of the reduced gravity.Then we point out that the transformation can be adoptedto generated the new solutions of the Ernst equation from the old ones.
We generalize the infinitesimal transformations obtained in the Ernst fields of vacuum previously to the case including electromagnetic fields to form a larger infinite symmetric group which is isomorphic to the Virasoro group without a central term. Wherein we find a subgroup, the enlarged Cosgrove group. It is pointed out that new solutions of the electronic fields can be genereated from old ones by means of our new transformations.
This paper shows a new symmetric transformation-C transformation in super principal chiral model and discover an infinite dimensional Lie algebra related to the Virasoro algebra without central extension. By using the Riemann-Hilbert transformation. The physical origination of C transformation is discussed.