Lie Groups, Differential Equations, and Geometry : Advances and Surveys
 Format:
 eBook
 Responsibility:
 edited by Giovanni Falcone
 Language:
 English
 Publication info:
 Cham, Germany. 2017. Springer International Publishing,Imprint: Springer
 Series:
 UNIPA Springer Series
 Abstract:
 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. … Read more
 Table of Contents:

Preface.  Introduction 1 A short survey on Lie theory and Finsler Geometry 2 Remarks on infinitedimensional representations of the Heisenberg algebra 3 Character, Multiplicity and Decomposition Problems in the Representation Theory of complex Lie Algebras 4 The BCHFormula 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 HalfAutomorphisms of CayleyDickson 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 semidiscrete schemes for an evolutionary equation to twolayer 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. Preface.  Introduction 1 A short survey on Lie theory and Finsler Geometry 2 Remarks on infinitedimensional representations of the Heisenberg algebra 3 Character, Multiplicity and Decomposition Problems in the Representation Theory of complex Lie Algebras 4 The BCHFormula 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
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