Representations of Algebras: Tame and Wild Behavior: Algebra and Applications, cartea 30
Autor José-Antonio de la Peñaen Limba Engleză Paperback – 24 oct 2023
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.
Toate formatele și edițiile | Preț | Express |
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Paperback (1) | 869.87 lei 6-8 săpt. | |
Springer International Publishing – 24 oct 2023 | 869.87 lei 6-8 săpt. | |
Hardback (1) | 875.73 lei 6-8 săpt. | |
Springer International Publishing – 23 oct 2022 | 875.73 lei 6-8 săpt. |
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Specificații
ISBN-13: 9783031122903
ISBN-10: 3031122909
Pagini: 233
Ilustrații: XIV, 233 p. 1 illus.
Dimensiuni: 155 x 235 mm
Greutate: 0.35 kg
Ediția:1st ed. 2022
Editura: Springer International Publishing
Colecția Springer
Seria Algebra and Applications
Locul publicării:Cham, Switzerland
ISBN-10: 3031122909
Pagini: 233
Ilustrații: XIV, 233 p. 1 illus.
Dimensiuni: 155 x 235 mm
Greutate: 0.35 kg
Ediția:1st ed. 2022
Editura: Springer International Publishing
Colecția Springer
Seria Algebra and Applications
Locul publicării:Cham, Switzerland
Cuprins
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.
Notă biografică
José-Antonio de la Peña, born in México in 1958, is a mathematician at the Universidad Autónoma de México. An expert in algebra, he has published around 150 papers and has received several honors, notably membership of El Colegio Nacional (México) since 2012.
Textul de pe ultima copertă
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.
Caracteristici
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 books Presents different approaches to the tame and wild determination of finite dimensional algebras