標題: Titlebook: Algebras and Representation Theory; Karin Erdmann,Thorsten Holm Textbook 2018 Springer Nature Switzerland AG 2018 MSC (2010) 16-XX, 16G10, [打印本頁] 作者: 實體 時間: 2025-3-21 17:20
書目名稱Algebras and Representation Theory影響因子(影響力)
書目名稱Algebras and Representation Theory影響因子(影響力)學科排名
書目名稱Algebras and Representation Theory網(wǎng)絡公開度
書目名稱Algebras and Representation Theory網(wǎng)絡公開度學科排名
書目名稱Algebras and Representation Theory被引頻次
書目名稱Algebras and Representation Theory被引頻次學科排名
書目名稱Algebras and Representation Theory年度引用
書目名稱Algebras and Representation Theory年度引用學科排名
書目名稱Algebras and Representation Theory讀者反饋
書目名稱Algebras and Representation Theory讀者反饋學科排名
作者: CHYME 時間: 2025-3-21 21:36
Karin Erdmann,Thorsten HolmOffers an elementary introduction that includes more advanced topics such as Gabriel’s theorem on quivers.Based on the authors’ extensive undergraduate teaching experience.Provides numerous worked exa作者: TATE 時間: 2025-3-22 00:58 作者: tendinitis 時間: 2025-3-22 07:31 作者: 反話 時間: 2025-3-22 10:20
https://doi.org/10.1057/9781137343215tion. Perhaps the most elementary way to think of modules is to view them as generalizations of vector spaces, where the role of scalars is played by elements in an algebra, or more generally, in a ring. We introduce many examples, and study the fundamental notions of submodules, factor modules and 作者: Charlatan 時間: 2025-3-22 14:32 作者: 遭受 時間: 2025-3-22 18:46
https://doi.org/10.1057/9781137343215mple modules. In this chapter we study modules which are direct sums of simple modules, this leads to the theory of semisimple modules. For some algebras, every module is a direct sum of simple modules. These algebras are said to be semisimple, and they have important applications. In this chapter, 作者: Communicate 時間: 2025-3-23 00:04
Civil Society and Democratic Consolidation, matrix algebras are semisimple algebras. When the coefficient field is algebraically closed the Artin-Wedderburn theorem shows that every semisimple algebra is isomorphic to such an algebra. In general, a semisimple algebra is isomorphic to a direct product of matrix algebras but where matrix block作者: Enervate 時間: 2025-3-23 02:19
https://doi.org/10.1057/9781137277121over a field is semisimple if and only the characteristic of the coefficient field does not divide the order of the group. We prove this theorem, and we discuss connections between the Artin-Wedderburn decomposition of a semisimple group algebra and properties of the group.作者: 腫塊 時間: 2025-3-23 08:31
https://doi.org/10.1057/9781137277121n finite-dimensional modules. In this setting one considers indecomposable modules, that is, modules which cannot be expressed as direct sums of proper submodules. Every finite-dimensional module is a direct sum of indecomposable modules. A direct sum decomposition into indecomposable summands is es作者: Ophthalmologist 時間: 2025-3-23 13:00
Georgios Anagnostopoulos,Gerasimos SantasThis leads to the concept of representation type. An algebra has finite representation type if it has only finitely many finite-dimensional indecomposable modules up to isomorphism, otherwise it has infinite representation type. After discussing these notions, we determine the representation type fo作者: expire 時間: 2025-3-23 16:09
Aristotle on Democracy and the Marketplace, concatenating paths when possible. We have seen representations of a quiver earlier, and we also have seen how to relate representations of a quiver to modules for its path algebra. In this chapter we develop the theory further and study representations of quivers in detail. In particular we show h作者: Spinal-Tap 時間: 2025-3-23 19:16
Robert G. Boatright,Molly Brigid McGrath the underlying graph of the quiver, that is, on the graph which is obtained by forgetting the orientation of the arrows. In this chapter, we describe the relevant graphs. They are known as Dynkin diagrams and Euclidean diagrams, these occur in many parts of mathematics. We introduce roots, and we d作者: 悅耳 時間: 2025-3-24 00:31 作者: 指數(shù) 時間: 2025-3-24 05:56 作者: bromide 時間: 2025-3-24 07:25 作者: 抑制 時間: 2025-3-24 11:01
978-3-319-91997-3Springer Nature Switzerland AG 2018作者: 縱火 時間: 2025-3-24 18:38
Algebras and Representation Theory978-3-319-91998-0Series ISSN 1615-2085 Series E-ISSN 2197-4144 作者: 一美元 時間: 2025-3-24 19:05
Civil Society and Democratic Consolidation, matrix algebras are semisimple algebras. When the coefficient field is algebraically closed the Artin-Wedderburn theorem shows that every semisimple algebra is isomorphic to such an algebra. In general, a semisimple algebra is isomorphic to a direct product of matrix algebras but where matrix blocks over division algebras may occur.作者: 綁架 時間: 2025-3-25 01:24 作者: 約會 時間: 2025-3-25 04:59
,The Structure of Semisimple Algebras: The Artin–Wedderburn Theorem, matrix algebras are semisimple algebras. When the coefficient field is algebraically closed the Artin-Wedderburn theorem shows that every semisimple algebra is isomorphic to such an algebra. In general, a semisimple algebra is isomorphic to a direct product of matrix algebras but where matrix blocks over division algebras may occur.作者: decode 時間: 2025-3-25 10:05
,Semisimple Group Algebras and Maschke’s Theorem,over a field is semisimple if and only the characteristic of the coefficient field does not divide the order of the group. We prove this theorem, and we discuss connections between the Artin-Wedderburn decomposition of a semisimple group algebra and properties of the group.作者: ARM 時間: 2025-3-25 15:34
https://doi.org/10.1057/9781137343215We discuss tools to find and to compare simple modules of a fixed algebra. Furthermore, we determine the simple modules for finite-dimensional quotients of polynomial algebras in one variable, and also for finite-dimensional path algebras of quivers. Finally, we prove Schur’s lemma and discuss some applications.作者: TAP 時間: 2025-3-25 17:28 作者: engender 時間: 2025-3-25 22:51
https://doi.org/10.1057/9781137277121sentially unique; this is known as the Krull-Schmidt Theorem, we give a proof. One may think of simple modules as analogs of ‘elementary particles’, and then indecomposable modules could be viewed as analogs of ‘molecules’.作者: 膽大 時間: 2025-3-26 00:20
Georgios Anagnostopoulos,Gerasimos Santasr some classes of algebras. In particular, we show that the group algebra of a finite group has finite representation type if and only if the Sylow .-subgroups of the group are cyclic, here . is the characteristic of the coefficient field.作者: gimmick 時間: 2025-3-26 05:56 作者: COKE 時間: 2025-3-26 08:52
,Simple Modules and the Jordan–H?lder Theorem,We discuss tools to find and to compare simple modules of a fixed algebra. Furthermore, we determine the simple modules for finite-dimensional quotients of polynomial algebras in one variable, and also for finite-dimensional path algebras of quivers. Finally, we prove Schur’s lemma and discuss some applications.作者: HEDGE 時間: 2025-3-26 15:09
Semisimple Modules and Semisimple Algebras,as an exception, we deal with arbitrary direct sums of modules. We view this as an opportunity to prove a result which does not need finiteness assumptions. The only new tool necessary is Zorn’s lemma.作者: 小歌劇 時間: 2025-3-26 17:10 作者: 饑荒 時間: 2025-3-26 21:53 作者: Amendment 時間: 2025-3-27 02:10 作者: Palate 時間: 2025-3-27 05:33 作者: aviator 時間: 2025-3-27 10:43 作者: 背帶 時間: 2025-3-27 17:04
https://doi.org/10.1057/9781137343215elements in an algebra, or more generally, in a ring. We introduce many examples, and study the fundamental notions of submodules, factor modules and module homomorphisms. For group algebras, and for path algebras of quivers we make the correspondence between modules and representations explicit.作者: 補角 時間: 2025-3-27 18:17 作者: Folklore 時間: 2025-3-27 22:42 作者: 不遵守 時間: 2025-3-28 04:39
Robert G. Boatright,Molly Brigid McGrathdean types. As for some background, we give a short account of root systems as they occur in Lie theory, and we show that the set of roots, as defined in the setting of representation theory, is a root system in this sense. We finish with an informal account of Morita equivalence.作者: apropos 時間: 2025-3-28 10:17 作者: geriatrician 時間: 2025-3-28 12:44
Modules and Representations,elements in an algebra, or more generally, in a ring. We introduce many examples, and study the fundamental notions of submodules, factor modules and module homomorphisms. For group algebras, and for path algebras of quivers we make the correspondence between modules and representations explicit.作者: 發(fā)炎 時間: 2025-3-28 17:28
Representations of Quivers,to modules for its path algebra. In this chapter we develop the theory further and study representations of quivers in detail. In particular we show how to exploit properties which come from the graph structure of the quiver.作者: 灌溉 時間: 2025-3-28 22:26
Diagrams and Roots, the relevant graphs. They are known as Dynkin diagrams and Euclidean diagrams, these occur in many parts of mathematics. We introduce roots, and we discuss further tools needed later, such as the Coxeter transformations. The content of this chapter is mainly basic combinatorics and linear algebra.作者: 偽證 時間: 2025-3-29 02:22 作者: 具體 時間: 2025-3-29 06:30
Textbook 2018he book starts with basic topics on algebras and modules, covering fundamental results such as the Jordan-H?lder theorem on composition series, the Artin-Wedderburn theorem on the structure of semisimple algebras and the Krull-Schmidt theorem on indecomposable modules. The authors then go on to stud作者: 說笑 時間: 2025-3-29 08:13
Textbook 2018uate students. With numerous examples illustrating abstract concepts, and including more than 200 exercises (with solutions to about a third of them), the book provides an example-driven introduction suitable for self-study and use alongside lecture courses..作者: FLAG 時間: 2025-3-29 14:36 作者: 某人 時間: 2025-3-29 17:20
Modules and Representations,tion. Perhaps the most elementary way to think of modules is to view them as generalizations of vector spaces, where the role of scalars is played by elements in an algebra, or more generally, in a ring. We introduce many examples, and study the fundamental notions of submodules, factor modules and 作者: 反應 時間: 2025-3-29 21:53 作者: 落葉劑 時間: 2025-3-30 02:34
Semisimple Modules and Semisimple Algebras,mple modules. In this chapter we study modules which are direct sums of simple modules, this leads to the theory of semisimple modules. For some algebras, every module is a direct sum of simple modules. These algebras are said to be semisimple, and they have important applications. In this chapter, 作者: 公社 時間: 2025-3-30 07:03
,The Structure of Semisimple Algebras: The Artin–Wedderburn Theorem, matrix algebras are semisimple algebras. When the coefficient field is algebraically closed the Artin-Wedderburn theorem shows that every semisimple algebra is isomorphic to such an algebra. In general, a semisimple algebra is isomorphic to a direct product of matrix algebras but where matrix block作者: PAN 時間: 2025-3-30 08:15
