Lie groups beyond an introduction (Record no. 2652)

000 -LEADER
fixed length control field 02416nam a22002297a 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20241210161757.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 190424b ||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780817642594
040 ## - CATALOGING SOURCE
Transcribing agency Tata Book House
Original cataloging agency ICTS-TIFR
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA387
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Anthony W. Knapp
245 ## - TITLE STATEMENT
Title Lie groups beyond an introduction
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. Boston:
Name of publisher, distributor, etc. Birkhauser,
Date of publication, distribution, etc. [c2005]
300 ## - Physical Description
Pages: 812 p
490 ## - SERIES STATEMENT
Series statement Progress in Mathematics
Volume/sequential designation Vol. 140
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note 1. Lie Algebras and Lie Groups<br/>2. Complex Semisimple Lie Algebras<br/>3. Universal Enveloping Algebra<br/>4. Compact Lie Groups<br/>5. Finite-Dimensional Representations<br/>6. Structure Theory of Semisimple Groups<br/>7. Advanced Structure Theory<br/>8. Integration
520 ## - SUMMARY, ETC.
Summary, etc. Fifty years ago Claude Chevalley revolutionized Lie theory by pub­ lishing his classic Theory of Lie Groups I. Before his book Lie theory was a mixture of local and global results. As Chevalley put it, "This limitation was probably necessary as long as general topology was not yet sufficiently well elaborated to provide a solid base for a theory in the large. These days are now passed:' Indeed, they are passed because Chevalley's book changed matters. Chevalley made global Lie groups into the primary objects of study. In his third and fourth chapters he introduced the global notion of ana­ lytic subgroup, so that Lie subalgebras corresponded exactly to analytic subgroups. This correspondence is now taken as absolutely standard, and any introduction to general Lie groups has to have it at its core. Nowadays "local Lie groups" are a thing of the past; they arise only at one point in the development, and only until Chevalley's results have been stated and have eliminated the need for the local theory. But where does the theory go from this point? Fifty years after Cheval­ ley's book, there are clear topics: E. Cartan's completion ofW. Killing's work on classifying complex semisimple Lie algebras, the treatment of finite-dimensional representations of complex semisimple Lie algebras and compact Lie groups by Cartan and H. Weyl, the structure theory begun by Cartan for real semisimple Lie algebras and Lie groups, and harmonic analysis in the setting of semisimple groups as begun by Cartan and Weyl. --- summary provided by publisher
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematics
856 ## - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://link.springer.com/book/10.1007/978-1-4757-2453-0#toc">https://link.springer.com/book/10.1007/978-1-4757-2453-0#toc</a>
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Book
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Shelving location Date acquired Full call number Accession No. Koha item type
          ICTS Rack No 6 04/24/2019 QA387 01989 Book