Lie Groups, Differential Equations, and Geometry
Advances and Surveys
Falcone, Giovanni.
editor.
edt
http://id.loc.gov/vocabulary/relators/edt
SpringerLink (Online service)
text
gw
2017
monographic
eng
access
XIV, 361 p. 18 illus., 3 illus. in color. online resource.
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.
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 Hilbertâ€™s Fourth Problem and Projectively Flat Finsler Metrics -- 12 Holonomy theory of Finsler manifolds -- 13 Lepage Manifolds.
edited by Giovanni Falcone.
Topological Groups
Differential Equations
Mathematical optimization
Algebra
Topological Groups, Lie Groups
Ordinary Differential Equations
Calculus of Variations and Optimal Control; Optimization
Category Theory, Homological Algebra
Non-associative Rings and Algebras
QA252.3
QA387
512.55
512.482
Springer eBooks
UNIPA Springer Series
9783319621814
https://doi.org/10.1007/978-3-319-62181-4
https://doi.org/10.1007/978-3-319-62181-4
ISI Library, Kolkata
170919
20181204134424.0
978-3-319-62181-4