Book Details
Format
Paperback / Softback
Book Series
CMS Books in Mathematics
ISBN-10
3319363174
ISBN-13
9783319363172
Edition
Softcover reprint of the original 1st ed. 2014
Publisher
Springer International Publishing AG
Imprint
Springer International Publishing AG
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Sep 22nd, 2016
Print length
230 Pages
Product Classification:
Discrete mathematicsAlgebra
Ksh 6,650.00
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This book is intended to serve as a textbook for a course in Representation Theory of Algebras at the beginning graduate level. The main tool for describing the representation theory of a finite-dimensional algebra is its Auslander-Reiten quiver, and the text introduces these quivers as early as possible.
This book is intended to serve as a textbook for a course in Representation Theory of Algebras at the beginning graduate level. The text has two parts. In Part I, the theory is studied in an elementary way using quivers and their representations. This is a very hands-on approach and requires only basic knowledge of linear algebra. The main tool for describing the representation theory of a finite-dimensional algebra is its Auslander-Reiten quiver, and the text introduces these quivers as early as possible. Part II then uses the language of algebras and modules to build on the material developed before. The equivalence of the two approaches is proved in the text. The last chapter gives a proof of Gabriel’s Theorem. The language of category theory is developed along the way as needed.
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