Pioneers of representation theory : Frobenius, Burnside, Schur, and Brauer

著者

• Curtis, Charles W

書誌事項

Pioneers of representation theory : Frobenius, Burnside, Schur, and Brauer

Charles W. Curtis

（History of mathematics, v. 15）

American Mathematical Society, c1999

• : pbk.

注記

Includes bibliographical references (p. 273-283) and index

Some paperback copies have different pagination: xvi, 290 p. (Errata: p.289-290)

内容説明・目次

巻冊次

: pbk. ISBN 9780821826775

内容説明

The year 1897 was marked by two important mathematical events: the publication of the first paper on representations of finite groups by Ferdinand Georg Frobenius (1849-1917) and the appearance of the first treatise in English on the theory of finite groups by William Burnside (1852-1927). Burnside soon developed his own approach to representations of finite groups. In the next few years, working independently, Frobenius and Burnside explored the new subject and its applications to finite group theory. They were soon joined in this enterprise by Issai Schur (1875-1941) and some years later, by Richard Brauer (1901-1977). These mathematicians' pioneering research is the subject of this book.It presents an account of the early history of representation theory through an analysis of the published work of the principals and others with whom the principals' work was interwoven. Also included are biographical sketches and enough mathematics to enable readers to follow the development of the subject. An introductory chapter contains some of the results involving characters of finite abelian groups by Lagrange, Gauss, and Dirichlet, which were part of the mathematical tradition from which Frobenius drew his inspiration. This book presents the early history of an active branch of mathematics. It includes enough detail to enable readers to learn the mathematics along with the history. The volume would be a suitable text for a course on representations of finite groups, particularly one emphasizing an historical point of view.

目次

Some 19th-century algebra and number theory Frobenius and the invention of character theory Burnside: Representations and structure of finite groups Schur: A new beginning Polynomial representations of $GL_n(\mathbb{C})$ Richard Brauer and Emmy Noether: 1926-1933 Modular representation theory Bibliography Index.

巻冊次

ISBN 9780821890028

内容説明

The year 1897 was marked by two important mathematical events: the publication of the first paper on representations of finite groups by Ferdinand Georg Frobenius (1849-1917) and the appearance of the first treatise in English on the theory of finite groups by William Burnside (1852-1927). Burnside soon developed his own approach to representations of finite groups. In the next few years, working independently, Frobenius and Burnside explored the new subject and its applications to finite group theory. They were soon joined in this enterprise by Issai Schur (1875-1941) and some years later, by Richard Brauer (1901-1977). These mathematicians' pioneering research is the subject of this book. It presents an account of the early history of representation theory through an analysis of the published work of the principals and others with whom the principals' work was interwoven. Also included are biographical sketches and enough mathematics to enable readers to follow the development of the subject. An introductory chapter contains some of the results involving characters of finite abelian groups by Lagrange, Gauss, and Dirichlet, which were part of the mathematical tradition from which Frobenius drew his inspiration. This book presents the early history of an active branch of mathematics. It includes enough detail to enable readers to learn the mathematics along with the history. The volume would be a suitable text for a course on representations of finite groups, particularly one emphasizing an historical point of view.

目次

Some 19th-century algebra and number theory. Frobenius and the invention of character theory. Burnside: Representations and structure of finite groups. Schur: A new beginning. Polynomial representations of GL_n(\Bbb{C}). Richard Brauer and Emmy Noether: 1926-1933. Modular representation theory. Bibliography. Index

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詳細情報

• NII書誌ID(NCID): BA43639450
• ISBN:
  • 0821890026
  • 9780821826775
• LCCN: 99014983
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Providence, R.I.
• ページ数/冊数: xvi, 287 p.
• 大きさ: 27 cm
• 分類:
  • NDC9 : 411.6
  • LCC : QA176
  • DC21 : 512/.2
• 件名:
  • LCSH : Representations of groups -- History
  • LCSH : Finite groups -- History
• 親書誌ID:
  • BA04858793