MARC ayrıntıları
| 000 -LEADER |
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| fixed length control field |
04351nam a2200361 i 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
040715t20042004nyua b 001 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
0387211543 |
| Qualifying information |
(hard : alk. paper) |
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| International Standard Book Number |
9780387211541 |
| Qualifying information |
(hard : alk. paper) |
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| International Standard Book Number |
1441919376 |
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| International Standard Book Number |
9781441919373 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(OCoLC)55739480 |
| Canceled/invalid control number |
(OCoLC)56655861 |
| -- |
(OCoLC)723108139 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
MIA |
| Language of cataloging |
eng |
| Transcribing agency |
MIA |
| Modifying agency |
DLC |
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OHX |
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BAKER |
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NLGGC |
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BTCTA |
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LVB |
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YDXCP |
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UBA |
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UKM |
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OCLCG |
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HEBIS |
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UKMGB |
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MNW |
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OCLCO |
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MUU |
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OCLCF |
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DEBSZ |
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P4I |
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OCLCQ |
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UtOrBLW |
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BAUN |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
BAUN_MERKEZ |
| 050 04 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA387 |
| Item number |
.B76 2004 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Edition number |
22 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Bump, Daniel, |
| Dates associated with a name |
1952- |
| 245 10 - TITLE STATEMENT |
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| Title |
Lie groups / |
| Statement of responsibility, etc |
Daniel Bump |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
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| Place of production, publication, distribution, manufacture |
New York : |
| Name of producer, publisher, distributor, manufacturer |
Springer, |
| Date of production, publication, distribution, manufacture, or copyright notice |
[2004] |
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|---|
| Date of production, publication, distribution, manufacture, or copyright notice |
©2004 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xi, 451 pages : |
| Other physical details |
illustrations ; |
| Dimensions |
24 cm |
| 336 ## - CONTENT TYPE |
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| Content Type Term |
text |
| Content Type Code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media Type Term |
unmediated |
| Media Type Code |
unmediated |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier Type Term |
volume |
| Carrier Type Code |
volume |
| Source |
rdacarrier |
| 490 1# - SERIES STATEMENT |
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| Series statement |
Graduate texts in mathematics ; |
| Volume number/sequential designation |
225 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references (pages 438-445) and index |
| 505 00 - FORMATTED CONTENTS NOTE |
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| Title |
pt. I: Compact groups. Haar measure |
| -- |
-- Schur orthogonality |
| -- |
-- Compact operators |
| -- |
-- The Peter-Weyl theorem |
| -- |
-- part II: Lie groups fundamentals. Lie subgroups of GL (n, C) |
| -- |
-- Vector fields |
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-- Left-invariant vector fields |
| -- |
-- The exponential map |
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-- Tensors and universal properties |
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-- The universal enveloping algebra |
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-- Extension of scalars |
| -- |
-- Representations of s1(2,C) |
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-- The universal cover |
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-- The local Frobenius theorem |
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-- Tori |
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-- Geodesics and maximal tori |
| -- |
-- Topological proof of Cartan's theorem |
| -- |
-- The Weyl integration formula |
| -- |
-- The root system |
| -- |
-- Examples of root systems |
| -- |
-- Abstract Weyl groups |
| -- |
-- The fundamental group |
| -- |
-- Semisimple compact groups |
| -- |
-- Highest-Weight vectors |
| -- |
-- The Weyl character formula |
| -- |
-- Spin |
| -- |
-- Complexification |
| -- |
-- Coxeter groups |
| -- |
-- The Iwasawa decomposition |
| -- |
-- The Bruhat decomposition |
| -- |
-- Symmetric spaces |
| -- |
-- Relative root systems |
| -- |
-- Embeddings of lie groups |
| -- |
-- part III: Topics. Mackey theory |
| -- |
-- Characters of GL(n, C) |
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-- Duality between Sk and GL(n, C) |
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-- The Jacobi-Trudi identity |
| -- |
-- Schur polynomials and GL(n, C) |
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-- Schur polynomials and Sk |
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-- Random matrix theory |
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-- Minors of Toeplitz matrices |
| -- |
-- Branching formulae and tableaux |
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-- The Cauchy identity |
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-- Unitary branching rules |
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-- The involution model for Sk |
| -- |
-- Some symmetric algebras |
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-- Gelfand pairs |
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-- Hecke algebras |
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-- The philosophy of cusp forms |
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-- Cohomology of Grassmannians |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
"This book is intended for a one year graduate course on Lie groups and Lie algebras. The author proceeds beyond the representation theory of compact Lie groups (which is the basis of many texts) and provides a carefully chosen range of material to give the student the bigger picture. For compact Lie groups, the Peter-Weyl theorem, conjugacy of maximal tori (two proofs), Weyl character formula and more are covered. The book continues with the study of complex analytic groups, then general noncompact Lie groups, including the Coxeter presentation of the Weyl group, the Iwasawa and Bruhat decompositions, Cartan decomposition, symmetric spaces, Cayley transforms, relative root systems, Satake diagrams, extended Dynkin diagrams and a survey of the ways Lie groups may be embedded in one another. The book culminates in a "topics" section giving depth to the student's understanding of representation theory, taking the Frobenius-Schur duality between the representation theory of the symmetric group and the unitary groups as a unifying theme, with many applications in diverse areas such as random matrix theory, minors of Toeplitz matrices, symmetric algebra decompositions, Gelfand pairs, Hecke algebras, representations of finite general linear groups and the cohomology of Grassmannians and flag varieties. Daniel Bump is Professor of Mathematics at Stanford University. His research is in automorphic forms, representation theory and number theory. He is a co-author of GNU Go, a computer program that plays the game of Go. His previous books include Automorphic Forms and Representations (Cambridge University Press 1997) and Algebraic Geometry (World Scientific 1998)."--Publisher's website |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Lie groups |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| 9 (RLIN) |
19347 |
| Uniform title |
Graduate texts in mathematics ; |
| Volume number/sequential designation |
225 |
| 900 ## - EQUIVALENCE OR CROSS-REFERENCE-PERSONAL NAME [LOCAL, CANADA] |
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| Personal Name |
19999 |
|
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| Numeration |
Satın |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Library of Congress Classification |
| Koha item type |
Kitap |
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