Algebraic integrability, Painlevé geometry and lie algebras
This Ergebnisse volume is aimed at a wide readership of mathematicians and physicists, graduate students and professionals. The main thrust of the book is to show how algebraic geometry, Lie theory and Painlevé analysis can be used to explicitly solve integrable differential equations and construct the algebraic tori on which they linearize; at the same time, it is, for the student, a playing ground to applying algebraic geometry and Lie theory. The book is meant to be reasonably self-contained and presents numerous examples. The latter apper throughout the text to illustrate the ideas, and make up the core of the last part of the book.The first part of the book contains the basic tools from Lie groups, algebraic and differential geometry to understand the main topic.
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- ISBN
-
9783540224709
354022470X
- Dimensions
-
24 cm
- Extent
-
XII, 483 S.
- Language
-
Englisch
- Notes
-
Literaturverz. S. 469 - 478
- Bibliographic citation
-
Ergebnisse der Mathematik und ihrer Grenzgebiete ; Folge 3, Vol. 47
- Classification
-
Mathematik
Physik
- Keyword
-
Integrables System
Algebraische Geometrie
Lie-Theorie
- Event
-
Veröffentlichung
- (where)
-
Berlin, Heidelberg, New York
- (who)
-
Springer
- (when)
-
2004
- Table of contents
- Rights
-
Bei diesem Objekt liegt nur das Inhaltsverzeichnis digital vor. Der Zugriff darauf ist unbeschränkt möglich.
- Last update
-
11.06.2025, 2:19 PM CEST
Data provider
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
Time of origin
- 2004
Other Objects (12)
Lie algebras and algebraic groups
Basic theory of algebraic groups and lie algebras
On the Darboux integrability of the Painlevé II equations
Lie symmetries of a Painlevé-type equation without Lie symmetries
Lie algebras
Lie algebras
Spherical algebraic subalgebras of real simple Lie algebras of rank 1
Jacobi-type methods on semisimple Lie algebras : a Lie algebraic approach to numerical linear algebra
Modular Lie algebras
INTEGRABILITY OF CLASSICAL AFFINE W-ALGEBRAS
Lie point symmetries and ODEs passing the Painlevé test
Integrability of Lie Systems Through Riccati Equations
Lie algebras and algebraic groups
Basic theory of algebraic groups and lie algebras
On the Darboux integrability of the Painlevé II equations
Lie symmetries of a Painlevé-type equation without Lie symmetries
Lie algebras
Lie algebras
Spherical algebraic subalgebras of real simple Lie algebras of rank 1
Jacobi-type methods on semisimple Lie algebras : a Lie algebraic approach to numerical linear algebra
Modular Lie algebras
INTEGRABILITY OF CLASSICAL AFFINE W-ALGEBRAS
Lie point symmetries and ODEs passing the Painlevé test
Integrability of Lie Systems Through Riccati Equations
Lie algebras and algebraic groups
Basic theory of algebraic groups and lie algebras
On the Darboux integrability of the Painlevé II equations
Lie symmetries of a Painlevé-type equation without Lie symmetries
Lie algebras
Lie algebras
Spherical algebraic subalgebras of real simple Lie algebras of rank 1
Jacobi-type methods on semisimple Lie algebras : a Lie algebraic approach to numerical linear algebra
Modular Lie algebras
INTEGRABILITY OF CLASSICAL AFFINE W-ALGEBRAS
Lie point symmetries and ODEs passing the Painlevé test