Differential Geometry, Group Representations, and Quantization

Prof. Dr. Dr. h.c. Wolfgang Lücke lehrt am Institut für betriebswirtschaftliche Produktions- und Investitionsforschung der Universität Göttingen. Er ist zudem Dozent und Ehrenpräsident der Privaten Fachhochschule Göttingen sowie Studienleiter der Verwaltungs- und Wirtschaftsakademie Göttingen und der Berufsakademie Göttingen.

Global differential geometric methods in elasticity and hydrodynamics.- GL(n, ?), tetrads and generalized space-time dynamics.- On boundary conditions for Yang-Mills fields in spatially bounded domains.- Parallel transport of phases.- An alternative approach to the quantization of linear relativistic field equations.- A lattice approximation of the dirac equation.- Some hidden aspects of hidden symmetry.- A baryon standard model for electroweak and strong interactions.- Is the physical vacuum really Lorentz-invariant?.- Quantization, coherent states and diffeomorphism groups.- Borel quantization and the origin of topological effects in quantum mechanics.- Symmetries of quantum group coupling coefficients.- Symmetry groups and spectrum generating groups.- Spectrum and character formulae of so(3, 2) unitary representations.- Quantum theory of single events.- Symmetry, entropy and complexity.- Steps in the philosophy of quantum theory.