Lie Groups, Differential Equations, and Geometry Advances and Surveys /

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 Gerst...

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Corporate Author: SpringerLink (Online service)
Other Authors: Falcone, Giovanni. (Editor, http://id.loc.gov/vocabulary/relators/edt)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
Edition:1st ed. 2017.
Series:UNIPA Springer Series,
Subjects:
Online Access:https://doi.org/10.1007/978-3-319-62181-4
Table of Contents:
  • Preface. - Introduction
  • 1 A short survey on Lie theory and Finsler Geometry
  • 2 Remarks on infinite-dimensional representations of the Heisenberg algebra
  • 3 Character, Multiplicity and Decomposition Problems in the Representation Theory of complex Lie Algebras
  • 4 The BCH-Formula and Order Conditions for Splitting Methods Winfried Auzinger, Wolfgang Herfort, Othmar Koch, and Mechthild Thalhammer
  • 5 Cohomology Operations Defining Cohomology Algebra of the Loop Space
  • 6 Half-Automorphisms of Cayley-Dickson Loops
  • 7 Invariant control systems on Lie groups
  • 8 An Optimal Control Problem for an Nonlocal Problem on the Plane
  • 9 On the geometry of the domain of the solution of nonlinear Cauchy
  • 10 Reduction of some semi-discrete schemes for an evolutionary equation to two-layer schemes and estimates for the approximate solution error
  • 11 Hilbert’s Fourth Problem and Projectively Flat Finsler Metrics
  • 12 Holonomy theory of Finsler manifolds
  • 13 Lepage Manifolds.