Modular representation theory of finite groups (Record no. 1431593)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02305cam a22002777a 4500 |
| 001 - CONTROL NUMBER | |
| control field | 17529809 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250611104916.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 121115s2013 ne a b 001 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781447148319 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | CSL |
| Transcribing agency | CSL |
| 041 ## - LANGUAGE CODE | |
| Source of code | eng |
| Language code of text/sound track or separate title | eng |
| 084 ## - COLON CLASSIFICATION NUMBER | |
| Classification number | B271 Q3 NBHM |
| Assigning agency | CSL |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Schneider, P. |
| Relator term | author. |
| 9 (RLIN) | 812557 |
| 245 10 - TITLE STATEMENT | |
| Title | Modular representation theory of finite groups |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Dordrecht : |
| Name of publisher, distributor, etc. | Springer, |
| Date of publication, distribution, etc. | 2013. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | viii, 178 p. : |
| Other physical details | ill. ; |
| Dimensions | 24 cm. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references (p. 175) and index. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1. Prerequisites in module theory -- 2. The Cartan-Brauer Triangle -- 3. The Brauer character -- 4. Green's theory of indecomposable modules -- 5. Blocks. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | Modular Representation Theory of finite Groups comprises this second situation. Many additional tools are needed for this case. To mention some, there is the systematic use of Grothendieck groups leading to the Cartan matrix and the decomposition matrix of the group as well as Green's direct analysis of indecomposable representations. There is also the strategy of writing the category of all representations as the direct product of certain subcategories, the so-called 'blocks' of the group. Brauer's work then establishes correspondences between the blocksof the original group and blocks of certain subgroups the philosophy being that one is thereby reduced to a simpler situation. In particular, one can measure how nonsemisimple a category a block is by the size and structure of its so-called 'defect group'. All these concepts are made explicit for the example of the special linear group of two-by-two matrices over a finite prime field.<br/><br/>Although the presentation is strongly biased towards the module theoretic point of view an attempt is made to strike a certain balance by also showing the reader the group theoretic approach. In particular, in the case of defect groups a detailed proof of the equivalence of the two approaches is given. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Modular representations of groups. |
| 9 (RLIN) | 812147 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Brauer Correspondence |
| 9 (RLIN) | 812558 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Burnside Ring |
| 9 (RLIN) | 812559 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Finite groups. |
| 9 (RLIN) | 439386 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Cartan-Brauer Triangle |
| 9 (RLIN) | 812560 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Colon Classification (CC) |
| Suppress in OPAC | No |
| Koha item type | Textual |
| Classification part | B271 Q3 NBHM |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Source of acquisition | Total Checkouts | Full call number | Barcode | Date last seen | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Colon Classification (CC) | Central Science Library | Faculty of Mathematical Sciences Library | 2025-01-13 | New India Book Agency | B271 Q3 NBHM | SL1656221 | 2025-06-11 | 2025-06-11 | Textual |