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UNIPA Springer Series

Lie Groups, Differential Equations, and Geometry

Advances and Surveys

Editors: Falcone, Giovanni (Ed.)

  • 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
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eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-62181-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-3-319-62180-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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.

About the authors

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.

Table of contents (13 chapters)

  • A Short Survey on Lie Theory and Finsler Geometry

    Falcone, Giovanni (et al.)

    Pages 1-21

  • Remarks on Infinite-Dimensional Representations of the Heisenberg Algebra

    Trapani, Camillo

    Pages 23-40

  • Character, Multiplicity, and Decomposition Problems in the Representation Theory of Complex Lie Algebras

    Fiebig, Peter

    Pages 41-70

  • The BCH-Formula and Order Conditions for Splitting Methods

    Auzinger, Winfried (et al.)

    Pages 71-83

  • Cohomology Operations Defining Cohomology Algebra of the Loop Space

    Kadeishvili, Tornike

    Pages 85-108

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-62181-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-3-319-62180-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Lie Groups, Differential Equations, and Geometry
Book Subtitle
Advances and Surveys
Editors
  • Giovanni Falcone
Series Title
UNIPA Springer Series
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-62181-4
DOI
10.1007/978-3-319-62181-4
Hardcover ISBN
978-3-319-62180-7
Series ISSN
2366-7516
Edition Number
1
Number of Pages
XIV, 361
Number of Illustrations and Tables
15 b/w illustrations, 3 illustrations in colour
Topics