Overview
- 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
Part of the book series: UNIPA Springer Series (USS)
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Table of contents (13 chapters)
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Front Matter
Keywords
About this book
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.
Editors and Affiliations
About the editor
Giovanni Falcone received his Ph.D. in Erlangen, Germany in 1998, and has been an Assistant Professor in Palermo, Italy since 1999. His work mainly focuses on Lie algebras, Lie groups and algebraic groups, and (in combinatorics) on block designs. He has been invited to give lectures at the University of Technology in Budapest (2017), at Nankai University in Tianjin (2016), and at the Nesin Mathematics Village in Izmir (2015). At the University of Palermo, he coordinated the project “Lie groups, Differential equations, and Geometry,” supported by the Marie Curie Action nr. 317721. This book is one of the outcomes of the project.
Bibliographic Information
Book Title: Lie Groups, Differential Equations, and Geometry
Book Subtitle: Advances and Surveys
Editors: Giovanni Falcone
Series Title: UNIPA Springer Series
DOI: https://doi.org/10.1007/978-3-319-62181-4
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-62180-7Published: 28 September 2017
Softcover ISBN: 978-3-319-87249-0Published: 11 August 2018
eBook ISBN: 978-3-319-62181-4Published: 19 September 2017
Series ISSN: 2366-7516
Series E-ISSN: 2366-7524
Edition Number: 1
Number of Pages: XIV, 361
Number of Illustrations: 15 b/w illustrations, 3 illustrations in colour
Topics: Topological Groups, Lie Groups, Ordinary Differential Equations, Calculus of Variations and Optimal Control; Optimization, Category Theory, Homological Algebra, Non-associative Rings and Algebras