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Algebras and representation theory / Karin Erdmann, Thorsten Holm.

By: Erdmann, Karin, 1948- [author.].
Contributor(s): Holm, Thorsten, 1965- [author.].
Material type: TextTextSeries: Springer undergraduate mathematics series: Publisher: Cham, Switzerland : Springer, 2018Description: ix, 298 pages : E 34.99 illustrations. 23 cms.Content type: text Media type: computer Carrier type: online resourceISBN: 9783319919980; 3319919989.Subject(s): Mathematics | Representations of algebras | Mathematics -- Algebra -- Abstract | Algebra | Groups & group theory | Mathematical foundations | Algebra | Group theoryGenre/Form: Electronic books.DDC classification: 512/.2
Contents:
1 Introduction.- 2 Algebras.- 3 Modules and Representations.- 4 Simple Modules in the Jordan-Hölder Theorem.- 5 Semisimple Modules and Semisimple Algebras.- 6 The Structure of Semisimple ALgebras - The Artin-Wedderburn Theorem.- 7 Semisimple Group Algebras and Maschke's Theorem.- 8 Indecomposable Modules.- 9 Representation Type.- 10 Representations of Quivers.- 11 Diagrams and Roots.- 12 Gabriel's Theorem.- 13 Proofs and Background.- 14 Appendix A: Induced Modules for Group Algebras.- 15 Appendix B: Solutions to Selected Exercises.- Index.
List(s) this item appears in: 2019-04-30
Item type Current location Call number Status Date due Barcode Item holds
Book Chennai Mathematical Institute
General Stacks
512.2 ERD (Browse shelf) Available 10649
Total holds: 0

Includes index.

1 Introduction.- 2 Algebras.- 3 Modules and Representations.- 4 Simple Modules in the Jordan-Hölder Theorem.- 5 Semisimple Modules and Semisimple Algebras.- 6 The Structure of Semisimple ALgebras - The Artin-Wedderburn Theorem.- 7 Semisimple Group Algebras and Maschke's Theorem.- 8 Indecomposable Modules.- 9 Representation Type.- 10 Representations of Quivers.- 11 Diagrams and Roots.- 12 Gabriel's Theorem.- 13 Proofs and Background.- 14 Appendix A: Induced Modules for Group Algebras.- 15 Appendix B: Solutions to Selected Exercises.- Index.

Online resource; title from PDF title page (SpringerLink, viewed September 17, 2018).