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Representation theory [electronic resource] : a homological algebra point of view

Representation theory [electronic resource] : a homological algebra point of view

자료유형
E-Book(소장)
개인저자
Zimmermann, Alexander, 1964-.
서명 / 저자사항
Representation theory [electronic resource] : a homological algebra point of view / by Alexander Zimmermann.
발행사항
Cham :   Springer International Publishing :   Imprint: Springer,   2014.  
형태사항
1 online resource (xx, 707 p.) : ill.
총서사항
Algebra and Applications,1572-5553 ; 19
ISBN
9783319079684
요약
  Introducing the representation theory of groups and finite dimensional algebras, this book first studies basic non-commutative ring theory, covering the necessary background of elementary homological algebra and representations of groups to block theory. It further discusses vertices, defect groups, Green and Brauer correspondences and Clifford theory. Whenever possible the statements are presented in a general setting for more general algebras, such as symmetric finite dimensional algebras over a field. Then, abelian and derived categories are introduced in detail and are used to explain stable module categories, as well as derived categories and their main invariants and links between them. Group theoretical applications of these theories are given – such as the structure of blocks of cyclic defect groups – whenever appropriate. Overall, many methods from the representation theory of algebras are introduced. Representation Theory assumes only the most basic knowledge of linear algebra, groups, rings and fields, and guides the reader in the use of categorical equivalences in the representation theory of groups and algebras. As the book is based on lectures, it will be accessible to any graduate student in algebra and can be used for self-study as well as for classroom use.
일반주기
Title from e-Book title page.  
내용주기
Rings, Algebras and Modules -- Modular Representations of Finite Groups -- Abelian and Triangulated Categories -- Morita theory -- Stable Module Categories -- Derived Equivalences.
서지주기
Includes bibliographical references and index.
이용가능한 다른형태자료
Issued also as a book.  
일반주제명
Algebra, Homological. Representations of algebras.
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URL
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005 20200923101950
006 m d
007 cr
008 200916s2014 sz a ob 001 0 eng d
020 ▼a 9783319079684
040 ▼a 211009 ▼c 211009 ▼d 211009
082 0 4 ▼a 512.64 ▼2 23
084 ▼a 512.64 ▼2 DDCK
090 ▼a 512.64
100 1 ▼a Zimmermann, Alexander, ▼d 1964-.
245 1 0 ▼a Representation theory ▼h [electronic resource] : ▼b a homological algebra point of view / ▼c by Alexander Zimmermann.
260 ▼a Cham : ▼b Springer International Publishing : ▼b Imprint: Springer, ▼c 2014.
300 ▼a 1 online resource (xx, 707 p.) : ▼b ill.
490 1 ▼a Algebra and Applications, ▼x 1572-5553 ; ▼v 19
500 ▼a Title from e-Book title page.
504 ▼a Includes bibliographical references and index.
505 0 ▼a Rings, Algebras and Modules -- Modular Representations of Finite Groups -- Abelian and Triangulated Categories -- Morita theory -- Stable Module Categories -- Derived Equivalences.
520 ▼a   Introducing the representation theory of groups and finite dimensional algebras, this book first studies basic non-commutative ring theory, covering the necessary background of elementary homological algebra and representations of groups to block theory. It further discusses vertices, defect groups, Green and Brauer correspondences and Clifford theory. Whenever possible the statements are presented in a general setting for more general algebras, such as symmetric finite dimensional algebras over a field. Then, abelian and derived categories are introduced in detail and are used to explain stable module categories, as well as derived categories and their main invariants and links between them. Group theoretical applications of these theories are given – such as the structure of blocks of cyclic defect groups – whenever appropriate. Overall, many methods from the representation theory of algebras are introduced. Representation Theory assumes only the most basic knowledge of linear algebra, groups, rings and fields, and guides the reader in the use of categorical equivalences in the representation theory of groups and algebras. As the book is based on lectures, it will be accessible to any graduate student in algebra and can be used for self-study as well as for classroom use.
530 ▼a Issued also as a book.
538 ▼a Mode of access: World Wide Web.
650 0 ▼a Algebra, Homological.
650 0 ▼a Representations of algebras.
830 0 ▼a Algebra and Applications, ▼x 1572-5553 ; ▼v 19.
856 4 0 ▼u https://oca.korea.ac.kr/link.n2s?url=http://dx.doi.org/10.1007/978-3-319-07968-4
945 ▼a KLPA
991 ▼a E-Book(소장)

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No. 1 소장처 중앙도서관/e-Book 컬렉션/ 청구기호 CR 512.64 등록번호 E14032955 도서상태 대출불가(열람가능) 반납예정일 예약 서비스 M

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