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Structure and Geometry of Lie Groups (Record no. 22591)

000 -LEADER
fixed length control field 04488nam a22005055i 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140310151441.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 111105s2012 xxu| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780387847948
978-0-387-84794-8
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA252.3
Classification number QA387
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.55
Edition number 23
Classification number 512.482
Edition number 23
264 #1 -
-- New York, NY :
-- Springer New York,
-- 2012.
912 ## -
-- ZDB-2-SMA
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Hilgert, Joachim.
Relator term author.
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE
Title Structure and Geometry of Lie Groups
Medium [electronic resource] /
Statement of responsibility, etc by Joachim Hilgert, Karl-Hermann Neeb.
300 ## - PHYSICAL DESCRIPTION
Extent X, 746 p.
Other physical details online resource.
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Springer Monographs in Mathematics,
International Standard Serial Number 1439-7382
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Preface -- 1 Introduction -- Part I Matrix Groups -- 2 Concrete Matrix Groups -- 3 The Matrix Exponential Function -- 4 Linear Lie Groups -- Part II Lie Algebras.- 5 Elementary Structure Theory of Lie Algebras.- 6 Root Decomposition.- 7 Representation Theory of Lie Algebras -- Part III Manifolds and Lie Groups.- 8 Smooth Manifolds -- 9 Basic Lie Theory -- 10 Smooth Actions of Lie Groups -- Part IV Structure Theory of Lie Groups -- 11 Normal Subgroups, Nilpotemt and Solvable Lie Groups -- 12 Compact Lie Groups -- 13 Semisimple Lie Groups -- 14 General Structure Theory -- 15 Complex Lie Groups -- 16 Linearity of Lie Groups -- 17 Classical Lie Groups -- 18 Nonconnected Lie Groups -- Part V Appendices -- A Basic Covering Theory -- B Some Multilinear Algebra -- C Some Functional Analysis -- D Hints to Exercises -- References -- Index.
520 ## - SUMMARY, ETC.
Summary, etc This text is designed as an introduction to Lie groups and their actions on manifolds, one that is accessible both to a broad range of mathematicians and to graduate students. Building on the authors' Lie-Gruppen und Lie-Algebren textbook from 1991, it presents the fundamental  principles of Lie groups while incorporating the past 20 years of the authors' teaching and research, and giving due emphasis to the role played by differential geometry in the field. The text is entirely self contained, and provides ample guidance to students with the presence of many exercises and selected hints. The work begins with a study of matrix groups, which serve as examples to concretely and directly illustrate the correspondence between groups and their Lie algebras. In the second part of the book, the authors investigate the basic structure and representation theory of finite dimensional Lie algebras, such as the rough structure theory relevant to the theorems of Levi and Malcev, the fine structure of semisimple Lie algebras (root decompositions), and questions related to representation theory. In the third part of the book, the authors turn to global issues, most notably the interplay between differential geometry and Lie theory. Finally, the fourth part of the book deals with the structure theory of Lie groups, including some refined applications of the exponential function, various classes of Lie groups, and structural issues for general Lie groups. To round out the book's content, several appendices appear at the end of this last part. Containing a wealth of useful information, including new results, Structure and Geometry of Lie Groups provides a unique perspective on the study of Lie groups and is a valuable addition to the literature. Prerequisites are generally kept to a minimum, and various pedagogical features make it an excellent supplemental text for graduate students. However, the work also contains much that will be of interest to more advanced audiences, and can serve as a useful research reference in the field.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Algebra.
Topical term or geographic name as entry element Topological Groups.
Topical term or geographic name as entry element Global differential geometry.
Topical term or geographic name as entry element Algebraic topology.
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Topological Groups, Lie Groups.
Topical term or geographic name as entry element Differential Geometry.
Topical term or geographic name as entry element Algebraic Topology.
Topical term or geographic name as entry element Algebra.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Neeb, Karl-Hermann.
Relator term author.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9780387847931
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-0-387-84794-8
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Item type E-Book
Copies
Price effective from Permanent location Date last seen Not for loan Date acquired Source of classification or shelving scheme Koha item type Damaged status Lost status Withdrawn status Current location Full call number
2014-04-08AUM Main Library2014-04-08 2014-04-08 E-Book   AUM Main Library512.55