語系:
繁體中文
English
說明(常見問題)
回圖書館首頁
手機版館藏查詢
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
Basic representation theory of algebras
~
Assem, Ibrahim.
FindBook
Google Book
Amazon
博客來
Basic representation theory of algebras
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Basic representation theory of algebras/ by Ibrahim Assem, Flavio U. Coelho.
作者:
Assem, Ibrahim.
其他作者:
Coelho, Flavio U.
出版者:
Cham :Springer International Publishing : : 2020.,
面頁冊數:
x, 311 p. :ill., digital ;24 cm.
內容註:
Introduction -- Chapter 1: Modules, algebras and quivers -- Chapter 2: The radical and almost split sequences -- Chapter 3: Constructing almost split sequences -- Chapter 4: The Auslander-Reiten quiver of an algebra -- Chapter 5: Endomorphism algebras -- Chapter 6: Representation-finite algebras -- Bibliography -- Index.
Contained By:
Springer eBooks
標題:
Representations of algebras. -
電子資源:
https://doi.org/10.1007/978-3-030-35118-2
ISBN:
9783030351182
Basic representation theory of algebras
Assem, Ibrahim.
Basic representation theory of algebras
[electronic resource] /by Ibrahim Assem, Flavio U. Coelho. - Cham :Springer International Publishing :2020. - x, 311 p. :ill., digital ;24 cm. - Graduate texts in mathematics,2830072-5285 ;. - Graduate texts in mathematics ;283..
Introduction -- Chapter 1: Modules, algebras and quivers -- Chapter 2: The radical and almost split sequences -- Chapter 3: Constructing almost split sequences -- Chapter 4: The Auslander-Reiten quiver of an algebra -- Chapter 5: Endomorphism algebras -- Chapter 6: Representation-finite algebras -- Bibliography -- Index.
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 in non-commutative or homological algebra, which is standard in most universities, is a prerequisite for readers of this book.
ISBN: 9783030351182
Standard No.: 10.1007/978-3-030-35118-2doiSubjects--Topical Terms:
572480
Representations of algebras.
LC Class. No.: QA155 / .A874 2020
Dewey Class. No.: 512.2
Basic representation theory of algebras
LDR
:02459nmm a2200337 a 4500
001
2217240
003
DE-He213
005
20200806114822.0
006
m d
007
cr nn 008maaau
008
201120s2020 sz s 0 eng d
020
$a
9783030351182
$q
(electronic bk.)
020
$a
9783030351175
$q
(paper)
024
7
$a
10.1007/978-3-030-35118-2
$2
doi
035
$a
978-3-030-35118-2
040
$a
GP
$c
GP
041
0
$a
eng
050
4
$a
QA155
$b
.A874 2020
072
7
$a
PBF
$2
bicssc
072
7
$a
MAT002010
$2
bisacsh
072
7
$a
PBF
$2
thema
082
0 4
$a
512.2
$2
23
090
$a
QA155
$b
.A844 2020
100
1
$a
Assem, Ibrahim.
$3
629843
245
1 0
$a
Basic representation theory of algebras
$h
[electronic resource] /
$c
by Ibrahim Assem, Flavio U. Coelho.
260
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Springer,
$c
2020.
300
$a
x, 311 p. :
$b
ill., digital ;
$c
24 cm.
490
1
$a
Graduate texts in mathematics,
$x
0072-5285 ;
$v
283
505
0
$a
Introduction -- Chapter 1: Modules, algebras and quivers -- Chapter 2: The radical and almost split sequences -- Chapter 3: Constructing almost split sequences -- Chapter 4: The Auslander-Reiten quiver of an algebra -- Chapter 5: Endomorphism algebras -- Chapter 6: Representation-finite algebras -- Bibliography -- Index.
520
$a
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 in non-commutative or homological algebra, which is standard in most universities, is a prerequisite for readers of this book.
650
0
$a
Representations of algebras.
$3
572480
650
1 4
$a
Associative Rings and Algebras.
$3
897405
650
2 4
$a
Category Theory, Homological Algebra.
$3
899944
700
1
$a
Coelho, Flavio U.
$3
3450330
710
2
$a
SpringerLink (Online service)
$3
836513
773
0
$t
Springer eBooks
830
0
$a
Graduate texts in mathematics ;
$v
283.
$3
3450331
856
4 0
$u
https://doi.org/10.1007/978-3-030-35118-2
950
$a
Mathematics and Statistics (Springer-11649)
筆 0 讀者評論
館藏地:
全部
電子資源
出版年:
卷號:
館藏
1 筆 • 頁數 1 •
1
條碼號
典藏地名稱
館藏流通類別
資料類型
索書號
使用類型
借閱狀態
預約狀態
備註欄
附件
W9392144
電子資源
11.線上閱覽_V
電子書
EB QA155 .A874 2020
一般使用(Normal)
在架
0
1 筆 • 頁數 1 •
1
多媒體
評論
新增評論
分享你的心得
Export
取書館
處理中
...
變更密碼
登入