Frobenius Algebras II - Andrzej Skowroński, Kunio Yamagata

Frobenius Algebras II

Tilted and Hochschild Extension Algebras
Buch | Hardcover
X, 619 Seiten
2017
EMS Press (Verlag)
978-3-03719-174-3 (ISBN)
69,00 inkl. MwSt
This is the second of three volumes which will provide a comprehensive introduction to the modern representation theory of Frobenius algebras. The first part of the book is devoted to fundamental results of the representation theory of finite dimensional hereditary algebras and their tilted algebras, which allow to describe the representation theory of prominent classes of Frobenius algebras.
The second part is devoted to basic classical and recent results concerning the Hochschild extensions of finite dimensional algebras by duality bimodules and their module categories. Moreover, the shapes of connected components of the stable Auslander–Reiten quivers of Frobenius algebras are described.
The only prerequisite in this volume is a basic knowledge of linear algebra and some results of the first volume. It includes complete proofs of all results presented and provides a rich supply of examples and exercises.
The text is primarily addressed to graduate students starting research in the representation theory of algebras as well mathematicians working in other fields.
Erscheinungsdatum
Reihe/Serie EMS Textbooks in Mathematics
Sprache englisch
Maße 165 x 235 mm
Einbandart gebunden
Themenwelt Mathematik / Informatik Mathematik Algebra
Schlagworte bimodule • Euler form • Frobenius algebra • Grothendieck group • hereditary algebra • Hochschild extension algebra • injective module • Module • projective module • Quiver • Representation • semisimple module • simple module • symmetric algebra • tilted algebra • tilting module • torsion pair • uniserial module
ISBN-10 3-03719-174-0 / 3037191740
ISBN-13 978-3-03719-174-3 / 9783037191743
Zustand Neuware
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