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On characters of finite groups [electronic resource]

On characters of finite groups [electronic resource]

Material type
E-Book(소장)
Personal Author
Broué, Michel.
Title Statement
On characters of finite groups [electronic resource] / Michel Broué.
Publication, Distribution, etc
Singapore :   Springer,   c2017.  
Physical Medium
1 online resource (xvi, 246 p.) : ill. (some col.).
Series Statement
Mathematical lectures from Peking University,2197-4209
ISBN
9789811068775 9789811068782 (eBook)
요약
This book explores the classical and beautiful character theory of finite groups. It does it by using some rudiments of the language of categories. Originally emerging from two courses offered at Peking University (PKU), primarily for third-year students, it is now better suited for graduate courses, and provides broader coverage than books that focus almost exclusively on groups. The book presents the basic tools, notions and theorems of character theory (including a new treatment of the control of fusion and isometries), and introduces readers to the categorical language at several levels. It includes and proves the major results on characteristic zero representations without any assumptions about the base field. The book includes a dedicated chapter on graded representations and applications of polynomial invariants of finite groups, and its closing chapter addresses the more recent notion of the Drinfeld double of a finite group and the corresponding representation of GL_2(Z).
General Note
Title from e-Book title page.  
Content Notes
Tensor Product.-On Representation.-Characteristic 0 representations.-Playing with the base field -- Induction, restriction -- Brauer's theorem and some applications -- Graded representations and characters -- Drinfeld Double -- Appendix A. Basics on Finite Groups -- Appendix B. Assumed results on Galois theory -- Appendix C. Integral elements -- Appendix D. Noetherian rings and modules -- Appendix E. The language of categories and functors -- Bibliography 211.-Index.
Bibliography, Etc. Note
Includes bibliographical references and index.
이용가능한 다른형태자료
Issued also as a book.  
Subject Added Entry-Topical Term
Characters of groups. Finite groups.
Short cut
URL
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020 ▼a 9789811068775
020 ▼a 9789811068782 (eBook)
040 ▼a 211009 ▼c 211009 ▼d 211009
050 4 ▼a QA174-183
082 0 4 ▼a 512/.23 ▼2 23
084 ▼a 512.23 ▼2 DDCK
090 ▼a 512.23
100 1 ▼a Broué, Michel.
245 1 0 ▼a On characters of finite groups ▼h [electronic resource] / ▼c Michel Broué.
260 ▼a Singapore : ▼b Springer, ▼c c2017.
300 ▼a 1 online resource (xvi, 246 p.) : ▼b ill. (some col.).
490 1 ▼a Mathematical lectures from Peking University, ▼x 2197-4209
500 ▼a Title from e-Book title page.
504 ▼a Includes bibliographical references and index.
505 0 ▼a Tensor Product.-On Representation.-Characteristic 0 representations.-Playing with the base field -- Induction, restriction -- Brauer's theorem and some applications -- Graded representations and characters -- Drinfeld Double -- Appendix A. Basics on Finite Groups -- Appendix B. Assumed results on Galois theory -- Appendix C. Integral elements -- Appendix D. Noetherian rings and modules -- Appendix E. The language of categories and functors -- Bibliography 211.-Index.
520 ▼a This book explores the classical and beautiful character theory of finite groups. It does it by using some rudiments of the language of categories. Originally emerging from two courses offered at Peking University (PKU), primarily for third-year students, it is now better suited for graduate courses, and provides broader coverage than books that focus almost exclusively on groups. The book presents the basic tools, notions and theorems of character theory (including a new treatment of the control of fusion and isometries), and introduces readers to the categorical language at several levels. It includes and proves the major results on characteristic zero representations without any assumptions about the base field. The book includes a dedicated chapter on graded representations and applications of polynomial invariants of finite groups, and its closing chapter addresses the more recent notion of the Drinfeld double of a finite group and the corresponding representation of GL_2(Z).
530 ▼a Issued also as a book.
538 ▼a Mode of access: World Wide Web.
650 0 ▼a Characters of groups.
650 0 ▼a Finite groups.
830 0 ▼a Mathematical lectures from Peking University.
856 4 0 ▼u https://oca.korea.ac.kr/link.n2s?url=https://doi.org/10.1007/978-981-10-6878-2
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 512.23 Accession No. E14014604 Availability Loan can not(reference room) Due Date Make a Reservation Service M

Contents information

Table of Contents

Tensor Product -- On Representations -- Characteristic 0 representations -- Playing with the base field -- Induction, restriction -- Brauer''s theorem and some applications -- Graded representations and characters -- Drinfeld Double -- Appendix A. Basics on Finite Groups -- Appendix B. Assumed results on Galois theory -- Appendix C. Integral elements -- Appendix D. Noetherian rings and modules -- Appendix E. The language of categories and functors.