Representations of Algebras

Tame and Wild Behavior de

Éditeur :

Springer


Collection :

Algebra and Applications

Paru le : 2022-10-22

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Description

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.
Pages
233 pages
Collection
Algebra and Applications
Parution
2022-10-22
Marque
Springer
EAN papier
9783031122873
EAN PDF
9783031122880

Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
23
Taille du fichier
4997 Ko
Prix
147,69 €
EAN EPUB
9783031122880

Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
23
Taille du fichier
7834 Ko
Prix
147,69 €