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Quiver representations [electronic resource]

Quiver representations [electronic resource]

Material type
E-Book(소장)
Personal Author
Schiffler, Ralf.
Title Statement
Quiver representations [electronic resource] / Ralf Schiffler.
Publication, Distribution, etc
Cham :   Springer International Publishing :   Imprint: Springer,   2014.  
Physical Medium
1 online resource (xi, 230 p.) : ill.
Series Statement
CMS books in mathematics,1613-5237
ISBN
9783319092041
요약
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.
General Note
Title from e-Book title page.  
Content Notes
Part I: Quivers and their representations -- Representations of quivers -- Projective and injective representations -- Examples of Auslander-Reiten quivers -- Part II: Path algebras -- Algebras and modules -- Bound quiver algebras -- New algebras from old -- Auslander-Reiten theory -- Quadratic forms and Gabriel’s theorem.
Bibliography, Etc. Note
Includes bibliographical references and index.
이용가능한 다른형태자료
Issued also as a book.  
Subject Added Entry-Topical Term
Representations of algebras.
Short cut
URL
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006 m d
007 cr
008 200916s2014 sz a ob 001 0 eng d
020 ▼a 9783319092041
040 ▼a 211009 ▼c 211009 ▼d 211009
050 4 ▼a QA150-272
082 0 4 ▼a 512/.2 ▼2 23
084 ▼a 512.2 ▼2 DDCK
090 ▼a 512.2
100 1 ▼a Schiffler, Ralf.
245 1 0 ▼a Quiver representations ▼h [electronic resource] / ▼c Ralf Schiffler.
260 ▼a Cham : ▼b Springer International Publishing : ▼b Imprint: Springer, ▼c 2014.
300 ▼a 1 online resource (xi, 230 p.) : ▼b ill.
490 1 ▼a CMS books in mathematics, ▼x 1613-5237
500 ▼a Title from e-Book title page.
504 ▼a Includes bibliographical references and index.
505 0 ▼a Part I: Quivers and their representations -- Representations of quivers -- Projective and injective representations -- Examples of Auslander-Reiten quivers -- Part II: Path algebras -- Algebras and modules -- Bound quiver algebras -- New algebras from old -- Auslander-Reiten theory -- Quadratic forms and Gabriel’s theorem.
520 ▼a 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.
530 ▼a Issued also as a book.
538 ▼a Mode of access: World Wide Web.
650 0 ▼a Representations of algebras.
830 0 ▼a CMS books in mathematics.
856 4 0 ▼u https://oca.korea.ac.kr/link.n2s?url=http://dx.doi.org/10.1007/978-3-319-09204-1
945 ▼a KLPA
991 ▼a E-Book(소장)

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Main Library/e-Book Collection/ Call Number CR 512.2 Accession No. E14032805 Availability Loan can not(reference room) Due Date Make a Reservation Service M

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