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Lie Groups, Differential Equations, and Geometry [[electronic resource] ] : Advances and Surveys / / edited by Giovanni Falcone

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Titolo: Lie Groups, Differential Equations, and Geometry [[electronic resource] ] : Advances and Surveys / / edited by Giovanni Falcone Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017
Edizione: 1st ed. 2017.
Descrizione fisica: 1 online resource (XIV, 361 p. 18 illus., 3 illus. in color.)
Disciplina: 512.55
Soggetto topico: Topological groups
Lie groups
Differential equations
Calculus of variations
Category theory (Mathematics)
Homological algebra
Nonassociative rings
Rings (Algebra)
Topological Groups, Lie Groups
Ordinary Differential Equations
Calculus of Variations and Optimal Control; Optimization
Category Theory, Homological Algebra
Non-associative Rings and Algebras
Persona (resp. second.): FalconeGiovanni
Nota di bibliografia: Includes bibliographical references.
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: Lie Groups, Differential Equations, and Geometry  Visualizza cluster
ISBN: 3-319-62181-5
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910254303403321
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Serie: UNIPA Springer Series, . 2366-7516