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

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.