Publisher's Synopsis
Based on original research data, this book sets out new regular methods for realizing Hamilton's canonical equations in Lie algebras and symmetric spaces. The authors begin by constructing the algebraic embeddings in Lie algebras of Hamiltonian systems going on to present effective methods for constructing complete sets of functions in involution on orbits of coadjoint representations of Lie groups. Ending with the proof of the full integrability of a wide range of many-parameter families of Hamiltonian systems that allow algebraicization, this volume offers researchers a new approach to the subject.
