03914nam a22005295i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118040002500153050001200178050001000190072001600200072002300216072001500239082001500254082001600269245013100285264007500416300006400491336002600555337002600581338003600607347002400643490003800667505099900705520068601704650002402390650002802414650003102442650001302473650010702486650010802593650013302701650011302834650011102947700008003058710003403138773002003172776003603192776003603228776003603264830003803300856004603338978-3-319-62181-4DE-He21320181204134424.0cr nn 008mamaa170919s2017 gw | s |||| 0|eng d a97833196218147 a10.1007/978-3-319-62181-42doi aISI Library, Kolkata 4aQA252.3 4aQA387 7aPBG2bicssc 7aMAT0140002bisacsh 7aPBG2thema04a512.5522304a512.48222310aLie Groups, Differential Equations, and Geometryh[electronic resource] :bAdvances and Surveys /cedited by Giovanni Falcone. 1aCham :bSpringer International Publishing :bImprint: Springer,c2017. aXIV, 361 p. 18 illus., 3 illus. in color.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aUNIPA Springer Series,x2366-75160 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 Hilbertâ€™s Fourth Problem and Projectively Flat Finsler Metrics -- 12 Holonomy theory of Finsler manifolds -- 13 Lepage Manifolds. 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. 0aTopological Groups. 0aDifferential Equations. 0aMathematical optimization. 0aAlgebra.14aTopological Groups, Lie Groups.0http://scigraph.springernature.com/things/product-market-codes/M1113224aOrdinary Differential Equations.0http://scigraph.springernature.com/things/product-market-codes/M1214724aCalculus of Variations and Optimal Control; Optimization.0http://scigraph.springernature.com/things/product-market-codes/M2601624aCategory Theory, Homological Algebra.0http://scigraph.springernature.com/things/product-market-codes/M1103524aNon-associative Rings and Algebras.0http://scigraph.springernature.com/things/product-market-codes/M111161 aFalcone, Giovanni.eeditor.4edt4http://id.loc.gov/vocabulary/relators/edt2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z978331962180708iPrinted edition:z978331962182108iPrinted edition:z9783319872490 0aUNIPA Springer Series,x2366-751640uhttps://doi.org/10.1007/978-3-319-62181-4