Theory of Lie Groups I / (Record no. 3591)

MARC details
000 -LEADER
fixed length control field 02548nam a2200241 a 4500
001 - CONTROL NUMBER
control field vtls000000772
003 - CONTROL NUMBER IDENTIFIER
control field VRT
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20250102222809.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 081020s1999 nju | 001 0 eng |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0691049904 (pbk)
039 #9 - LEVEL OF BIBLIOGRAPHIC CONTROL AND CODING DETAIL [OBSOLETE]
Level of rules in bibliographic description 202301020939
Level of effort used to assign nonsubject heading access points shakra
Level of effort used to assign subject headings 202301011226
Level of effort used to assign classification shakra
Level of effort used to assign subject headings 201402040051
Level of effort used to assign classification VLOAD
Level of effort used to assign subject headings 201007271238
Level of effort used to assign classification malmash
-- 200810200835
-- musallam
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA387 .C44 1999
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Chevalley, C.
Dates associated with a name 1909-
9 (RLIN) 10128
245 10 - TITLE STATEMENT
Title Theory of Lie Groups I /
Statement of responsibility, etc. Claude Chevalley.
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. Princeton :
Name of publisher, distributor, etc. Princeton University Press
Date of publication, distribution, etc. 1946.
300 ## - PHYSICAL DESCRIPTION
Extent viii, 217 p ;
Dimensions 23 cm.
440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Princeton mathematical series ;
Volume/sequential designation 8
9 (RLIN) 10129
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note Includes index.
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note INTRODUCTION vii I. THE CLASSICAL LINEAR GROUPS 1 II. TOPOLOGICAL GROUPS 25 III. MANIFOLDS 68 IV. ANALYTIC GROUPS. LIE GROUPS 99 V. THE DIFFERENTIAL CALCULUS 0F CARTAN 139 VI. COMPACT LIE GROUPS AND THEIR REPRESENTATIONS 171 INDEX 215
520 ## - SUMMARY, ETC.
Summary, etc. This famous book was the first treatise on Lie groups in which a modern point of view was adopted systematically, namely, that a continuous group can be regarded as a global object. To develop this idea to its fullest extent, Chevalley incorporated a broad range of topics, such as the covering spaces of topological spaces, analytic manifolds, integration of complete systems of differential equations on a manifold, and the calculus of exterior differential forms. The book opens with a short description of the classical groups: unitary groups, orthogonal groups, symplectic groups, etc. These special groups are then used to illustrate the general properties of Lie groups, which are considered later. The general notion of a Lie group is defined and correlated with the algebraic notion of a Lie algebra; the subgroups, factor groups, and homomorphisms of Lie groups are studied by making use of the Lie algebra. The last chapter is concerned with the theory of compact groups, culminating in Peter-Weyl's theorem on the existence of representations. Given a compact group, it is shown how one can construct algebraically the corresponding Lie group with complex parameters, which appears in the form of a certain algebraic variety (associated algebraic group). This construction is intimately related to the proof of the generalization given by Tannaka of Pontrjagin's duality theorem for Abelian groups. The continued importance of Lie groups in mathematics and theoretical physics make this an indispensable volume for researchers in both fields.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Lie groups.
9 (RLIN) 10130
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Library of Congress Classification
Suppress in OPAC No
Koha item type Books
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Shelving location Date acquired Total checkouts Barcode Date last seen Copy number Price effective from Koha item type
    Library of Congress Classification     Library Library First Floor 21/12/2024   8893 21/12/2024 1 21/12/2024 Books
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