Algebras and Representation Theory
-15%
portes grátis
Algebras and Representation Theory
Erdmann, Karin; Holm, Thorsten
Springer International Publishing AG
09/2018
298
Mole
Inglês
9783319919973
15 a 20 dias
474
Descrição não disponível.
1 Introduction.- 2 Algebras.- 3 Modules and Representations.- 4 Simple Modules in the Jordan-Hoelder 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.
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MSC (2010) 16-XX, 16G10, 16G20, 16D10, 16D60, 16G60, 20CXX;algebras;representations;modules;simple modules;Jordan-Hoelder theorem;Artin-Wedderburn theorem;Maschke's theorem;indecomposable modules;Krull-Schmidt theorem;representation type;representations of quivers;Gabriel's theorem
1 Introduction.- 2 Algebras.- 3 Modules and Representations.- 4 Simple Modules in the Jordan-Hoelder 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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
