Marknadens största urval
Snabb leverans

Basic Representation Theory of Algebras

Om Basic Representation Theory of Algebras

This textbook introduces the representation theory of algebras by focusing on two of its most important aspects: the Auslander¿Reiten theory and the study of the radical of a module category. It starts by introducing and describing several characterisations of the radical of a module category, then presents the central concepts of irreducible morphisms and almost split sequences, before providing the definition of the Auslander¿Reiten quiver, which encodes much of the information on the module category. It then turns to the study of endomorphism algebras, leading on one hand to the definition of the Auslander algebra and on the other to tilting theory. The book ends with selected properties of representation-finite algebras, which are now the best understood class of algebras. Intended for graduate students in representation theory, this book is also of interest to any mathematician wanting to learn the fundamentals of this rapidly growing field. A graduate course innon-commutative or homological algebra, which is standard in most universities, is a prerequisite for readers of this book.

Visa mer
  • Språk:
  • Engelska
  • ISBN:
  • 9783030991401
  • Format:
  • Häftad
  • Sidor:
  • 324
  • Utgiven:
  • 10 Maj 2022
  • Utgåva:
  • 22001
  • Mått:
  • 155x18x235 mm.
  • Vikt:
  • 493 g.
  Fri leverans
Leveranstid: 2-4 veckor
Förväntad leverans: 9 Juli 2024

Beskrivning av Basic Representation Theory of Algebras

This textbook introduces the representation theory of algebras by focusing on two of its most important aspects: the Auslander¿Reiten theory and the study of the radical of a module category. It starts by introducing and describing several characterisations of the radical of a module category, then presents the central concepts of irreducible morphisms and almost split sequences, before providing the definition of the Auslander¿Reiten quiver, which encodes much of the information on the module category. It then turns to the study of endomorphism algebras, leading on one hand to the definition of the Auslander algebra and on the other to tilting theory. The book ends with selected properties of representation-finite algebras, which are now the best understood class of algebras.
Intended for graduate students in representation theory, this book is also of interest to any mathematician wanting to learn the fundamentals of this rapidly growing field. A graduate course innon-commutative or homological algebra, which is standard in most universities, is a prerequisite for readers of this book.

Användarnas betyg av Basic Representation Theory of Algebras



Hitta liknande böcker
Boken Basic Representation Theory of Algebras finns i följande kategorier:

Gör som tusentals andra bokälskare

Prenumerera på vårt nyhetsbrev för att få fantastiska erbjudanden och inspiration för din nästa läsning.