Theory of Lie Groups I / (Record no. 3591)
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fixed length control field | 02548nam a2200241 a 4500 |
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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 |
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 |
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Library of Congress Classification | Library | Library | First Floor | 21/12/2024 | 8893 | 21/12/2024 | 1 | 21/12/2024 | Books |