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Group representations. Volume 3 /

This third volume can be roughly divided into two parts. The first part is devoted to the investigation of various properties of projective characters. Special attention is drawn to spin representations and their character tables and to various correspondences for projective characters. Among other...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Karpilovsky, Gregory, 1940-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam ; London : North-Holland, 1994.
Colección:North-Holland mathematics studies ; 180.
Temas:
Acceso en línea:Texto completo
Texto completo
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MARC

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100 1 |a Karpilovsky, Gregory,  |d 1940- 
245 1 0 |a Group representations.  |n Volume 3 /  |c Gregory Karpilovsky. 
260 |a Amsterdam ;  |a London :  |b North-Holland,  |c 1994. 
300 |a 1 online resource (xv, 907 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a North-Holland mathematics studies ;  |v 180 
504 |a Includes bibliographical references (pages 849-891) and index. 
505 0 |a pt. 1. Protective characters. Chapter 1. An Invitation to projective characters ; Chapter 2. Clifford theory for projective characters ; Chapter 3. Correspondences for projective characters ; Chapter 4. Generalized projective characters ; Chapter 5. Projective character tables -- pt. 2. Protective representations II. Chapter 6. Splitting fields ; Chapter 7. Projective Schur index ; Chapter 8. Projective representations of Abelian Groups -- pt. 3. Group-graded algebras. Chapter 9. Graded modules ; Chapter 10. Clifford theory for graded algebras : restriction and induction ; Chapter 11. Clifford theory for graded algebras : extensions of modules ; Chapter 12. Clifford theory for group algebras ; Chapter 13. Graded group rings -- pt. 4. The Schur index. Chapter 14. Foundations of the theory -- Chapter 15. Main theorems -- Bibliography -- Notation -- Index. 
520 |a This third volume can be roughly divided into two parts. The first part is devoted to the investigation of various properties of projective characters. Special attention is drawn to spin representations and their character tables and to various correspondences for projective characters. Among other topics, projective Schur index and projective representations of abelian groups are covered. The last topic is investigated by introducing a symplectic geometry on finite abelian groups. The second part is devoted to Clifford theory for graded algebras and its application to the corresponding theory for group algebras. The volume ends with a detailed investigation of the Schur index for ordinary representations. A prominant role is played in the discussion by Brauer groups together with cyclotomic algebras and cyclic algebras. 
588 0 |a Print version record. 
650 0 |a Representations of groups. 
650 6 |a Repr�esentations de groupes.  |0 (CaQQLa)201-0026866 
650 7 |a MATHEMATICS  |x Group Theory.  |2 bisacsh 
650 7 |a Representations of groups  |2 fast  |0 (OCoLC)fst01094938 
776 0 8 |i Print version:  |a Karpilovsky, Gregory, 1940-  |t Group representations. Volume 3.  |d Amsterdam ; London : North-Holland, 1980  |z 9780444874337  |w (OCoLC)30111215 
830 0 |a North-Holland mathematics studies ;  |v 180. 
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