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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Language: | English |
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Cham :
Springer International Publishing : Imprint: Springer,
2017.
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Edition: | 1st ed. 2017. |
Series: | UNIPA Springer Series,
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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.