04069nam a22005775i 4500
978-3-319-62181-4
DE-He213
20181204134424.0
cr nn 008mamaa
170919s2017 gw | s |||| 0|eng d
9783319621814
978-3-319-62181-4
10.1007/978-3-319-62181-4
doi
ISI Library, Kolkata
QA252.3
QA387
PBG
bicssc
MAT014000
bisacsh
PBG
thema
512.55
23
512.482
23
Lie Groups, Differential Equations, and Geometry
[electronic resource] :
Advances and Surveys /
edited by Giovanni Falcone.
Cham :
Springer International Publishing :
Imprint: Springer,
2017.
XIV, 361 p. 18 illus., 3 illus. in color.
online resource.
text
txt
rdacontent
computer
c
rdamedia
online resource
cr
rdacarrier
text file
PDF
rda
UNIPA Springer Series,
2366-7516
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.
Topological Groups.
Differential Equations.
Mathematical optimization.
Algebra.
Topological Groups, Lie Groups.
http://scigraph.springernature.com/things/product-market-codes/M11132
Ordinary Differential Equations.
http://scigraph.springernature.com/things/product-market-codes/M12147
Calculus of Variations and Optimal Control; Optimization.
http://scigraph.springernature.com/things/product-market-codes/M26016
Category Theory, Homological Algebra.
http://scigraph.springernature.com/things/product-market-codes/M11035
Non-associative Rings and Algebras.
http://scigraph.springernature.com/things/product-market-codes/M11116
Falcone, Giovanni.
editor.
edt
http://id.loc.gov/vocabulary/relators/edt
SpringerLink (Online service)
Springer eBooks
Printed edition:
9783319621807
Printed edition:
9783319621821
Printed edition:
9783319872490
UNIPA Springer Series,
2366-7516
https://doi.org/10.1007/978-3-319-62181-4
ZDB-2-SMA
EB
Mathematics and Statistics (Springer-11649)
427404
427404