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

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Bibliographic Details
Imprint:	Cham : Springer, 2017.
Description:	1 online resource
Language:	English
Series:	UNIPA Springer Series, UNIPA Springer series.
Subject:	Lie groups. Differential equations. Calculus of variations. Calculus of variations. Differential equations. Lie groups. Electronic book.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11361584

Hidden Bibliographic Details
Other authors / contributors:	Falcone, Giovanni, editor.
ISBN:	9783319621814 3319621815 9783319621807 3319621807
Digital file characteristics:	text file PDF
Notes:	Includes bibliographical references.
Summary:	"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."
Other form:	Print version: 9783319621807
Standard no.:	10.1007/978-3-319-62181-4

Table of Contents:

A short survey on Lie theory and Finsler Geometry / Giovanni Falcone, Karl Strambach, and Ming Xu
Remarks on infinite-dimensional representations of the Heisenberg algebra / Camillo Trapani
Character, Multiplicity and Decomposition Problems in the Representation Theory of complex Lie Algebras / Peter Fiebig
The BCH-Formula and Order Conditions for Splitting Methods / Winfried Auzinger, Wolfgang Herfort, Othmar Koch, and Mechthild Thalhammer
Cohomology Operations Defining Cohomology Algebra of the Loop Space / Tornike Tadeishvili
Half-Automorphisms of Cayley-Dickson Loops / Maria de Lourdes Merlini-Giulani, Peter Plaumann, and Liudmila Sabinina-- Invariant control systems on Lie groups / Rory Biggs and Claudiu C. Remsing
An Optimal Control Problem for an Nonlocal Problem on the Plane / D. Devadze, Ts. Sarajishvili, and M. Abashidze
On the geometry of the domain of the solution of nonlinear Cauchy problem / Á. Figula and M.Z. Menteshashvili
Reduction of some semi-discrete schemes for an evolutionary equation to two-layer schemes and estimates for the approximate solution error / Jemal Rogava, David Gulua, and Romeo Galdava
Hilbert's Fourth Problem and Projectively Flat Finsler Metrics / Xinyue Cheng, Xiaoyu Ma, Yuling Shen, and Shuhua Liu
Holonomy theory of Finsler manifolds / Zoltán Muzsnay and Péter T. Nagy
Lepage Manifolds / Olga Rossi.

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