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＜電子ブック＞
Lie Groups, Differential Equations, and Geometry : Advances and Surveys / edited by Giovanni Falcone
(UNIPA Springer Series. ISSN:23667524)

版	1st ed. 2017.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2017
本文言語	英語
大きさ	XIV, 361 p. 18 illus., 3 illus. in color : online resource
著者標目	Falcone, Giovanni editor SpringerLink (Online service)
件　名	LCSH:Topological groups LCSH:Lie groups LCSH:Differential equations LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Algebra, Homological LCSH:Nonassociative rings FREE:Topological Groups and Lie Groups FREE:Differential Equations FREE:Calculus of Variations and Optimization FREE:Category Theory, Homological Algebra FREE:Non-associative Rings and Algebras
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-319-62181-4

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