LEADER 04568nam 22007215 450 001 9910254303403321 005 20200629151902.0 010 $a3-319-62181-5 024 7 $a10.1007/978-3-319-62181-4 035 $a(CKB)4100000000586892 035 $a(DE-He213)978-3-319-62181-4 035 $a(MiAaPQ)EBC5050109 035 $a(PPN)204535514 035 $a(EXLCZ)994100000000586892 100 $a20170919d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLie Groups, Differential Equations, and Geometry$b[electronic resource] $eAdvances and Surveys /$fedited by Giovanni Falcone 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (XIV, 361 p. 18 illus., 3 illus. in color.) 225 1 $aUNIPA Springer Series,$x2366-7516 311 $a3-319-62180-7 320 $aIncludes bibliographical references. 327 $aPreface. - 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. 330 $aThis book collects a series of contributions addressing the various contexts in which the theory of Lie groups is applied. A preliminary chapter serves the reader both as a basic reference source and as an ongoing thread that runs through the subsequent chapters. From representation theory and Gerstenhaber algebras to control theory, from differential equations to Finsler geometry and Lepage manifolds, the book introduces young researchers in Mathematics to a wealth of different topics, encouraging a multidisciplinary approach to research. As such, it is suitable for students in doctoral courses, and will also benefit researchers who want to expand their field of interest. 410 0$aUNIPA Springer Series,$x2366-7516 606 $aTopological groups 606 $aLie groups 606 $aDifferential equations 606 $aCalculus of variations 606 $aCategory theory (Mathematics) 606 $aHomological algebra 606 $aNonassociative rings 606 $aRings (Algebra) 606 $aTopological Groups, Lie Groups$3https://scigraph.springernature.com/ontologies/product-market-codes/M11132 606 $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147 606 $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016 606 $aCategory Theory, Homological Algebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11035 606 $aNon-associative Rings and Algebras$3https://scigraph.springernature.com/ontologies/product-market-codes/M11116 615 0$aTopological groups. 615 0$aLie groups. 615 0$aDifferential equations. 615 0$aCalculus of variations. 615 0$aCategory theory (Mathematics). 615 0$aHomological algebra. 615 0$aNonassociative rings. 615 0$aRings (Algebra). 615 14$aTopological Groups, Lie Groups. 615 24$aOrdinary Differential Equations. 615 24$aCalculus of Variations and Optimal Control; Optimization. 615 24$aCategory Theory, Homological Algebra. 615 24$aNon-associative Rings and Algebras. 676 $a512.55 676 $a512.482 702 $aFalcone$b Giovanni$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910254303403321 996 $aLie Groups, Differential Equations, and Geometry$91562454 997 $aUNINA