Lie Groups, Differential Equations, and Geometry

1. A Short Survey on Lie Theory and Finsler Geometry
Giovanni Falcone, Karl Strambach, Ming Xu

2. Remarks on Infinite-Dimensional Representations of the Heisenberg Algebra
Camillo Trapani

3. Character, Multiplicity, and Decomposition Problems in the Representation Theory of Complex Lie Algebras
Peter Fiebig

4. The BCH-Formula and Order Conditions for Splitting Methods
Winfried Auzinger, Wolfgang Herfort, Othmar Koch, Mechthild Thalhammer

5. Cohomology Operations Defining Cohomology Algebra of the Loop Space
Tornike Kadeishvili

6. Half-Automorphisms of Cayley–Dickson Loops
Maria Lourdes Merlini-Giuliani, Peter Plaumann, Liudmila Sabinina

7. Invariant Control Systems on Lie Groups
Rory Biggs, Claudiu C. Remsing

8. An Optimal Control Problem for a Nonlocal Problem on the Plane
D. Devadze, Ts. Sarajishvili, M. Abashidze

9. On the Geometry of the Domain of the Solution of Nonlinear Cauchy Problem
Á. Figula, M. Z. Menteshashvili

10. Reduction of Some Semi-discrete Schemes for an Evolutionary Equation to Two-Layer Schemes and Estimates for the Approximate Solution Error
Jemal Rogava, David Gulua, Romeo Galdava

11. Hilbert’s Fourth Problem and Projectively Flat Finsler Metrics
Xinyue Cheng, Xiaoyu Ma, Yuling Shen, Shuhua Liu

12. Holonomy Theory of Finsler Manifolds
Zoltán Muzsnay, Péter T. Nagy

13. Lepage Manifolds
Olga Rossi

Keywords: Mathematics, Topological Groups, Lie Groups, Ordinary Differential Equations, Calculus of Variations and Optimal Control; Optimization, Category Theory, Homological Algebra, Non-associative Rings and Algebras