Hamiltonian Reduction of Diffeomorphism Invariant Field

For a variety of diffeomorphism-invariant field theories describing hypersurface motions (such as relativistic M-branes in space-time dimension M+2) we perform a Hamiltonian reduction ``at level 0'', showing that a simple algebraic function of the normal velocity is canonically conjugate to the shape \Sigma of the hypersurface. The Hamiltonian dependence on \Sigma is solely via the domain of integration, raising hope for a consistent, reparametrisation-invariant quantization.Comment: 4 pages, LaTe

The Ring of Invariants for Smooth Completions of Kac-Moody Lie Algebras

It is proved that the ring of invariants of the standard smooth completion of a Kac-Moody Lie algebra is functionally generated by two elements: the coefficient of the center and the Killing form.Comment: needs amsTe

Values generating model in case of intellectual capital by new knowledge development

As knowledge becomes more efficient according to its utilization, the steps of a values generating model by new knowledge development, in case of intellectual capital, are presented. The strategies of a training organization aiming at generating new information and knowledge are stated.intellectual capital, training organization, innovation, creativity, network economy, new knowledge generation

Invariant generators for generalized distributions

The existence of invariant generators for distributions satisfying a compatibility condition with the symmetry algebra is proved