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Lie groups, differential equations, and geometry = advances and surveys /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Lie groups, differential equations, and geometry/ edited by Giovanni Falcone.
Reminder of title:	advances and surveys /
other author:	Falcone, Giovanni.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xiv, 361 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Lie groups. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-62181-4
ISBN:	9783319621814

Lie groups, differential equations, and geometry = advances and surveys /
Lie groups, differential equations, and geometryadvances and surveys /[electronic resource] :edited by Giovanni Falcone. - Cham :Springer International Publishing :2017. - xiv, 361 p. :ill., digital ;24 cm. - UNIPA Springer series,2366-7516. - UNIPA Springer series..

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.

ISBN: 9783319621814

Standard No.: 10.1007/978-3-319-62181-4doiSubjects--Topical Terms:

527929
Lie groups.

LC Class. No.: QA387

Dewey Class. No.: 512.482

Lie groups, differential equations, and geometry = advances and surveys /
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505 0 $a 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.
520 $a 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.
650 0 $a Lie groups. $3 527929
650 0 $a Differential equations. $3 527664
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650 2 4 $a Topological Groups, Lie Groups. $3 672074
650 2 4 $a Ordinary Differential Equations. $3 670854
650 2 4 $a Calculus of Variations and Optimal Control; Optimization. $3 593942
650 2 4 $a Category Theory, Homological Algebra. $3 678397
650 2 4 $a Non-associative Rings and Algebras. $3 672285
700 1 $a Falcone, Giovanni. $3 1201278
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950 $a Mathematics and Statistics (Springer-11649)