Representations of Algebras - Tame and Wild Behavior (Hardcover, 1st ed. 2022)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Algebra and Applications, 30
Release date:	October 2022
First published:	2022
Authors:	Jose Antonio De LA Pena
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	233
Edition:	1st ed. 2022
ISBN-13:	978-3-03-112287-3
Categories:	Books > Science & Mathematics > Mathematics > Mathematical foundations > General Books > Science & Mathematics > Mathematics > Algebra > General
LSN:	3-03-112287-9
Barcode:	9783031122873

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