Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
Catalogue Display
Catalogue Display
Lie Groups Beyond an Introduction
.
Bookmark this Record
Catalogue Record 45995
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Books
.
.
Amazon Books
.
Catalogue Information
Catalogue Record 45995
.
Reviews
Catalogue Record 45995
.
British Library
Resolver for RSN-45995
Google Scholar
Resolver for RSN-45995
WorldCat
Resolver for RSN-45995
Catalogo Nazionale SBN
Resolver for RSN-45995
GoogleBooks
Resolver for RSN-45995
ICTP Library
Resolver for RSN-45995
.
Share Link
Jump to link
Catalogue Information
Field name
Details
Dewey Class
512
Title
Lie Groups Beyond an Introduction ([EBook]) / by Anthony W. Knapp.
Author
Knapp, Anthony W. , 1941-
Other name(s)
SpringerLink (Online service)
Publication
Boston, MA : Birkhäuser , 1996.
Physical Details
XV, 608 pages : online resource.
Series
Progress in mathematics
0743-1643 ; ; 140
ISBN
9781475724530
Summary Note
Lie Groups Beyond an Introduction takes the reader from the end of introductory Lie group theory to the threshold of infinite-dimensional group representations. Merging algebra and analysis throughout, the author uses Lie-theoretic methods to develop a beautiful theory having wide applications in mathematics and physics. A feature of the presentation is that it encourages the reader's comprehension of Lie group theory to evolve from beginner to expert: initial insights make use of actual matrices, while later insights come from such structural features as properties of root systems, or relationships among subgroups, or patterns among different subgroups. Topics include a description of all simply connected Lie groups in terms of semisimple Lie groups and semidirect products, the Cartan theory of complex semisimple Lie algebras, the Cartan-Weyl theory of the structure and representations of compact Lie groups and representations of complex semisimple Lie algebras, the classification of real semisimple Lie algebras, the structure theory of noncompact reductive Lie groups as it is now used in research, and integration on reductive groups. Many problems, tables, and bibliographical notes complete this comprehensive work, making the text suitable either for self-study or for courses in the second year of graduate study and beyond.:
Contents note
I. Lie Algebras and Lie Groups -- II. Complex Semisimple Lie Algebras -- III. Universal Enveloping Algebra -- IV. Compact Lie Groups -- V. Finite-Dimensional Representations -- VI. Structure Theory of Semisimple Groups -- VII. Advanced Structure Theory -- VIII. Integration -- Appendices -- A. Tensors, Filtrations, and Gradings -- 1. Tensor Algebra -- 2. Symmetric Algebra -- 3. Exterior Algebra -- 4. Filtrations and Gradings -- B. Lie’s Third Theorem -- 1. Levi Decomposition -- 2. Lie’s Third Theorem -- C. Data for Simple Lie Algebras -- 1. Classical Irreducible Reduced Root Systems -- 2. Exceptional Irreducible Reduced Root Systems -- 3. Classical Noncompact Simple Real Lie Algebras -- 4. Exceptional Noncompact Simple Real Lie Algebras -- Hints for Solutions of Problems -- Notes -- References -- Index of Notation.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4757-2453-0
Links to Related Works
Subject References:
Algebra
.
Group theory
.
Group Theory and Generalizations
.
Lie groups
.
Topological groups
.
Topological groups, Lie groups
.
Authors:
Knapp, Anthony W. 1941-
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Progress in mathematics
.
Classification:
512
.
.
ISBD Display
Catalogue Record 45995
.
Tag Display
Catalogue Record 45995
.
Related Works
Catalogue Record 45995
.
Marc XML
Catalogue Record 45995
.
Add Title to Basket
Catalogue Record 45995
.
Catalogue Information 45995
Beginning of record
.
Catalogue Information 45995
Top of page
.
Download Title
Catalogue Record 45995
Export
This Record
As
Labelled Format
Bibliographic Format
ISBD Format
MARC Format
MARC Binary Format
MARCXML Format
User-Defined Format:
Title
Author
Series
Publication Details
Subject
To
File
Email
Reviews
This item has not been rated.
Add a Review and/or Rating
45995
1
45995
-
2
45995
-
3
45995
-
4
45995
-
5
45995
-
Quick Search
Search for