Bücher von Eugene Lerman

Multiplicity diagrams can be viewed as schemes for describing the phenomenon of 'symmetry breaking' in quantum physics. The authors take a novel approach, using the techniques of symplectic geometry, to the subject of multiplicity diagrams associated with the classical groups U(n), O(n), etc.

Among all the Hamiltonian systems, the integrable ones have special geometric properties; This book serves as an introduction to symplectic and contact geometry for graduate students, exploring the underlying geometry of integrable Hamiltonian systems. Includes exercises designed to complement the expositiont, and up-to-date references.