MARC details
| 000 -LEADER |
|---|
| fixed length control field |
02570 a2200337 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9783319079684 (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
3319079689 (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
3319079670 (print) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9783319079677 (print) |
| 024 7# - OTHER STANDARD IDENTIFIER |
|---|
| Standard number or code |
10.1007/978-3-319-07968-4 |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
(OCoLC)889327917 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA169 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
512.64 |
| 090 ## - LOCALLY ASSIGNED LC-TYPE CALL NUMBER (OCLC); LOCAL CALL NUMBER (RLIN) |
|---|
| -- |
31663 |
| -- |
31663 |
| 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. |
|---|
| Place of publication, distribution, etc. |
Heidelberg |
| Name of publisher, distributor, etc. |
Springer |
| Date of publication, distribution, etc. |
2014 |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xx, 707 p. |
| Other physical details |
ill |
| Dimensions |
25 cm |
| 490 1# - SERIES STATEMENT |
|---|
| Series statement |
Algebra and Applications |
| International Standard Serial Number |
1572-5553 |
| Volume/sequential designation |
vol. 19 |
| 546 ## - LANGUAGE NOTE |
|---|
| Language note |
eng |
| 500 ## - GENERAL NOTE |
|---|
| General note |
Bibliografie la sfarsitul capitolelor <br/>Index p. 697 |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Rings, Algebras and Modules -- Modular Representations of Finite Groups -- Abelian and Triangulated Categories -- Morita theory -- Stable Module Categories -- Derived Equivalences. |
| 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 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Associative Rings and Algebras. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Category Theory, Homological Algebra. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Group Theory and Generalizations. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
MATHEMATICS / Algebra / Intermediate |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Homological algebra |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Representations of algebras |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Institution code [OBSOLETE] |
IMAR |
| Koha item type |
Carti |
| Call number prefix |
512.64 |
| Serial record flag |
EP |