Representations of algebras tame and wild behavior / [electronic resource] :

• 作者： Pena, Jose Antonio de la.
• 其他作者：
  • SpringerLink (Online service)
• 其他題名：
  • Algebra and applications ;
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Algebra and applications,v. 30
• 主題： Representations of groups. , Associative Rings and Algebras. , Category Theory, Homological Algebra. , Linear Algebra.
• ISBN： 9783031122880 (electronic bk.) 、 9783031122873 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 1 Introduction and First Examples -- 2 A Categorical Approach -- 3 Constructive Methods -- 4 Spectral Methods in Representation Theory -- 5 Group Actions on Algebras and Module Categories -- 6 Reflections and Weyl Groups -- 7 Simply Connected Algebras -- 8 Degenerations of Algebras -- 9 Further Comments.
• More
• 摘要註: This book offers an original introduction to the representation theory of algebras, suitable for beginning researchers in algebra. It includes many results and techniques not usually covered in introductory books, some of which appear here for the first time in book form. The exposition employs methods from linear algebra (spectral methods and quadratic forms), as well as categorical and homological methods (module categories, Galois coverings, Hochschild cohomology) to present classical aspects of ring theory under new light. This includes topics such as rings with several objects, the Harada-Sai lemma, chain conditions, and Auslander-Reiten theory. Noteworthy and significant results covered in the book include the Brauer-Thrall conjectures, Drozd's theorem, and criteria to distinguish tame from wild algebras. This text may serve as the basis for a second graduate course in algebra or as an introduction to research in the field of representation theory of algebras. The originality of the exposition and the wealth of topics covered also make it a valuable resource for more established researchers.
• 讀者標籤：

  需登入
• 引用連結：

  Copy Link
• 目前引用數
• Share: