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Titlebook: Representations of Algebras; Tame and Wild Behavi José-Antonio de la Pe?a Book 2022 The Editor(s) (if applicable) and The Author(s), under

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發(fā)表于 2025-3-21 18:26:32 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Representations of Algebras
副標題Tame and Wild Behavi
編輯José-Antonio de la Pe?a
視頻videohttp://file.papertrans.cn/828/827454/827454.mp4
概述Provides a self-contained introduction to a variety of topics in representation theory of algebras.Includes proofs of Brauer–Thrall conjectures and other topics not usually treated in introductory boo
叢書名稱Algebra and Applications
圖書封面Titlebook: Representations of Algebras; Tame and Wild Behavi José-Antonio de la Pe?a Book 2022 The Editor(s) (if applicable) and The Author(s), under
描述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..
出版日期Book 2022
關(guān)鍵詞Tame algebras; Wild algebras; Brauer-Thrall conjectures; Drozd‘s dichotomy theorem; Auslander-Reiten the
版次1
doihttps://doi.org/10.1007/978-3-031-12288-0
isbn_softcover978-3-031-12290-3
isbn_ebook978-3-031-12288-0Series ISSN 1572-5553 Series E-ISSN 2192-2950
issn_series 1572-5553
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 20:24:20 | 只看該作者
Constructive Methods,er-Thrall conjectures. The rest of the chapter treats the existence of post-projective components through an algorithmic approach, and uses Tits quadratic form to determine the representation type of triangular algebras.
板凳
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Algebra and Applicationshttp://image.papertrans.cn/r/image/827454.jpg
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Representations of Algebras978-3-031-12288-0Series ISSN 1572-5553 Series E-ISSN 2192-2950
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Introduction and First Examples,In this chapter we present some of the classical problems that triggered a rapid development in the representation theory of algebras: the Brauer-Thrall conjectures and Drozd’s dichotomy theorem. After some preparatory concepts on quadratic forms, we introduce fundamental concepts and examples on algebras, categories and algebraic varieties.
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