Group representations. Volume 3 [electronic resource] / Gregory Karpilovsky.

By: Karpilovsky, Gregory, 1940-Material type: Text

TextSeries: North-Holland mathematics studies ; 180.Publication details: Amsterdam ; London : North-Holland, 1980. Description: 1 online resource (xv, 907 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9780080872919 (electronic bk.); 0080872913 (electronic bk.)Subject(s): Representations of groups | MATHEMATICS -- Group Theory | Representations of groupsGenre/Form: Electronic books.Additional physical formats: Print version:: Group representations. Volume 3.DDC classification: 512/.2 LOC classification: QA176 | .K37eb vol. 3Online resources: ScienceDirect

Contents:

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.

Summary: 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.

Tags from this library: No tags from this library for this title. Log in to add tags.

Average rating: 0.0 (0 votes)

Holdings ( 0 )
Title notes ( 4 )
Comments ( 0 )

No physical items for this record

Includes bibliographical references (pages 849-891) and index.

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.

Print version record.

There are no comments on this title.

to post a comment.