MARC details
| 000 -LEADER |
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| fixed length control field |
02342cam a22002655i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
136191 |
| 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 |
20231027020004.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
140530s2014 nyu 000 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783319079677 |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
ISI Library |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
512.64 |
| Edition number |
23 |
| Item number |
Z73 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Zimmermann, Alexander. |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Representation theory : |
| Remainder of title |
a homological algebra point of view / |
| Statement of responsibility, etc |
Alexander Zimmermann. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc |
Switzerland : |
| Name of publisher, distributor, etc |
Springer, |
| Date of publication, distribution, etc |
2014. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xx, 707 p. : |
| Other physical details |
illustrations ; |
| Dimensions |
25 cm. |
| 490 0# - SERIES STATEMENT |
|---|
| Series statement |
Algebras and applications ; |
| Volume number/sequential designation |
v 19. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
1. Rings, algebras and modules --<br/> 2. Modular representation of finite groups --<br/> 3. Abelian and triangulated categories --<br/> 4. Morita theory --<br/> 5. Stable module categories --<br/> 6. Derived equivalences--<br/>References--<br/>Index |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
Introducing the representation theory of groups and finite dimensional algebras, this book first studies basic non-commutative ring theory, covering the necessary background of elementary homological algebra and representations of groups to block theory. It further discusses vertices, defect groups, Green and Brauer correspondences and Clifford theory. Whenever possible the statements are presented in a general setting for more general algebras, such as symmetric finite dimensional algebras over a field. Then, abelian and derived categories are introduced in detail and are used to explain stable module categories, as well as derived categories and their main invariants and links between them. Group theoretical applications of these theories are given - such as the structure of blocks of cyclic defect groups - whenever appropriate. Overall, many methods from the representation theory of algebras are introduced. Representation Theory assumes only the most basic knowledge of linear algebra, groups, rings and fields, and guides the reader in the use of categorical equivalences in the representation theory of groups and algebras. As the book is based on lectures, it will be accessible to any graduate student in algebra and can be used for self-study as well as for classroom use. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Homological Algebra. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Representations of algebras. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematics. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
| Koha issues (borrowed), all copies |
3 |
