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- catalog contributor b12845232.
- catalog created "c2003.".
- catalog date "2003".
- catalog date "c2003.".
- catalog dateCopyrighted "c2003.".
- catalog description "Ch. 1. Introduction -- Ch. 2. Semisimple Rings and Modules -- 2.1. Basic Notions -- 2.2. Structure Theorems -- 2.3. Idempotents and Blocks -- 2.4. Behavior under Field Extensions -- 2.5. Theorems of Burnside and Frobenius-Schur -- Ch. 3. Semisimple Group Representations -- 3.1. Examples and General Results -- 3.2. Representations of Abelian Groups -- 3.3. Decomposition of the Regular Representation -- 3.4. Applications of Frobenius's Theorem -- 3.5. Characters -- 3.6. Idempotents and their Uses -- 3.7. Subfields of the Complex Numbers -- 3.8. Fields of Positive Characteristic -- Ch. 4. Induced Representations and Applications -- 4.1. Induced Representations -- 4.2. Mackey's Theorem -- 4.3. Permutation Representations -- 4.4. M-groups -- 4.5. Theorems of Artin and Brauer -- 4.6. Degrees of Irreducible Representations -- Ch. 5. Introduction to Modular Representations -- Ch. 6. General Rings and Modules -- 6.1. Jordan-Holder and Krull-Schmidt Theorems -- 6.2. The Jacobson Radical -- 6.3. Rings of Finite Length -- 6.4. Finite-dimensional Algebras -- Ch. 7. Modular Group Representations -- 7.1. General Results -- 7.2. Characters and Brauer Characters -- 7.3. Examples -- App. Some Useful Results.".
- catalog description "Includes bibliographical references (p. 209) and index.".
- catalog extent "ix, 212 p. ;".
- catalog identifier "0821832220 (alk. paper)".
- catalog isPartOf "Graduate studies in mathematics, 1065-7339 ; v. 59".
- catalog issued "2003".
- catalog issued "c2003.".
- catalog language "eng".
- catalog publisher "Providence, R.I. : American Mathematical Society,".
- catalog subject "512/.2 21".
- catalog subject "Finite groups.".
- catalog subject "QA176 .W45 2003".
- catalog subject "Representations of groups.".
- catalog tableOfContents "Ch. 1. Introduction -- Ch. 2. Semisimple Rings and Modules -- 2.1. Basic Notions -- 2.2. Structure Theorems -- 2.3. Idempotents and Blocks -- 2.4. Behavior under Field Extensions -- 2.5. Theorems of Burnside and Frobenius-Schur -- Ch. 3. Semisimple Group Representations -- 3.1. Examples and General Results -- 3.2. Representations of Abelian Groups -- 3.3. Decomposition of the Regular Representation -- 3.4. Applications of Frobenius's Theorem -- 3.5. Characters -- 3.6. Idempotents and their Uses -- 3.7. Subfields of the Complex Numbers -- 3.8. Fields of Positive Characteristic -- Ch. 4. Induced Representations and Applications -- 4.1. Induced Representations -- 4.2. Mackey's Theorem -- 4.3. Permutation Representations -- 4.4. M-groups -- 4.5. Theorems of Artin and Brauer -- 4.6. Degrees of Irreducible Representations -- Ch. 5. Introduction to Modular Representations -- Ch. 6. General Rings and Modules -- 6.1. Jordan-Holder and Krull-Schmidt Theorems -- 6.2. The Jacobson Radical -- 6.3. Rings of Finite Length -- 6.4. Finite-dimensional Algebras -- Ch. 7. Modular Group Representations -- 7.1. General Results -- 7.2. Characters and Brauer Characters -- 7.3. Examples -- App. Some Useful Results.".
- catalog title "Representation theory of finite groups : algebra and arithmetic / Steven H. Weintraub.".
- catalog type "text".