MARC details
| 000 -LEADER |
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| fixed length control field |
02488 a2200253 4500 |
| 001 - CONTROL NUMBER |
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| control field |
135658 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
ISI Library, Kolkata |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20150413134031.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
150325b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780691049908 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
ISI Library |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Edition number |
23 |
| Item number |
C527 |
| Classification number |
512.55 |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Chevalley, Claude. |
| 245 ## - TITLE STATEMENT |
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| Title |
Theory of lie groups / |
| Statement of responsibility, etc |
Claude Chevalley. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Princeton : |
| Name of publisher, distributor, etc |
Princeton University Press, |
| Date of publication, distribution, etc |
1999. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
viii, 217 p. ; |
| Dimensions |
24 cm. |
| 490 0# - SERIES STATEMENT |
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| Series statement |
Princeton mathematical series ; |
| Volume number/sequential designation |
8 |
| 490 0# - SERIES STATEMENT |
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| Series statement |
Princeton landmarks in mathematics |
| 500 ## - GENERAL NOTE |
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| General note |
Includes index. |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
INTRODUCTION <br/>I. THE CLASSICAL LINEAR GROUPS <br/>II. TOPOLOGICAL GROUPS <br/>III. MANIFOLDS <br/>IV. ANALYTIC GROUPS. LIE GROUPS <br/>V. THE DIFFERENTIAL CALCULUS 0F CARTAN <br/>VI. COMPACT LIE GROUPS AND THEIR REPRESENTATIONS <br/>INDEX. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
"This 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 makes this an indispensable volume for researchers in both fields."--Jacket. |
| 650 0# - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Lie groups. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
