Lie Groups, Differential Equations, and Geometry

Linking several questions in Mathematics, such as linearization and approximation, non-associativity, exponentiation and differentiation, Lie theory plays a major part in many branches of Mathematics, both abstract and applied ones One of very few books addressing several topics that either stem from, or can conveniently be treated in, the broader frame of Lie theory Provides postgraduate students and young researchers in Mathematics with a diverse range of research topics, promoting multidisciplinary approaches to these subjects
This book collects a series of contributions addressing the various contexts in which the theory of Lie groups is applied. A preliminary chapter serves the reader both as a basic reference source and as an ongoing thread that runs through the subsequent chapters. From representation theory and Gerstenhaber algebras to control theory, from differential equations to Finsler geometry and Lepage manifolds, the book introduces young researchers in Mathematics to a wealth of different topics, encouraging a multidisciplinary approach to research. As such, it is suitable for students in doctoral courses, and will also benefit researchers who want to expand their field of interest.