Linear representations of finite groups / (Record no. 15498)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02434 a2200277 4500 |
| 001 - CONTROL NUMBER | |
| control field | TB12849 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | IN-BhIIT |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20260527175143.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 260508b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9780387901909 (hbk. ) |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | IN-BhIIT |
| 041 ## - LANGUAGE CODE | |
| Language code of text | eng |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.23 |
| Book number | SER/L |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Serre, J.P. |
| Relator term | Author |
| 245 ## - TITLE STATEMENT | |
| Title | Linear representations of finite groups / |
| Statement of responsibility, etc | J.P. Serre and translated by Leonard L. Scott |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | New York : |
| Name of publisher | Springer, |
| Year of publication | 1977. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | x, 170 p. : |
| Other physical details(ill.) | ill. ; |
| Dimensions(size) | 22 cm. |
| 490 ## - SERIES STATEMENT | |
| Series statement | Graduate texts in mathematics; 42 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This book consists of three parts, rather different in level and purpose: The first part was originally written for quantum chemists. It describes the correspondence, due to Frobenius, between linear representations and charac ters. This is a fundamental result, of constant use in mathematics as well as in quantum chemistry or physics. I have tried to give proofs as elementary as possible, using only the definition of a group and the rudiments of linear algebra. The examples (Chapter 5) have been chosen from those useful to chemists. The second part is a course given in 1966 to second-year students of I'Ecoie Normale. It completes the first on the following points: (a) degrees of representations and integrality properties of characters (Chapter 6); (b) induced representations, theorems of Artin and Brauer, and applications (Chapters 7-11); (c) rationality questions (Chapters 12 and 13). The methods used are those of linear algebra (in a wider sense than in the first part): group algebras, modules, noncommutative tensor products, semisimple algebras. The third part is an introduction to Brauer theory: passage from characteristic 0 to characteristic p (and conversely). I have freely used the language of abelian categories (projective modules, Grothendieck groups), which is well suited to this sort of question. The principal results are: (a) The fact that the decomposition homomorphism is surjective: all irreducible representations in characteristic p can be lifted "virtually" (i.e., in a suitable Grothendieck group) to characteristic O. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematics |
| Topical Term | Modules (Algebra) |
| General subdivision | Finite groups |
| Topical Term | Mathieu groups |
| General subdivision | Finite groups |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Scott, Leonard L. |
| Relator term | Translator |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Text Book |
| Withdrawn status | Lost status | Damaged status | Not for loan | Collection code | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Full call number | Accession Number | Cost, replacement price | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Not withdrawn | Not Lost | not damaged | SBS | Central Library, IIT Bhubaneswar | Central Library, IIT Bhubaneswar | 23/03/2026 | 52 | 4312.26 | 512.23 SER/L | TB12849 | 5907.20 | 23/03/2026 | Text Book |