Tadashi Nakayama

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Tadashi Nakayama , also Tadasi Nakayama , Tadasi Nakamura ( Japanese 中山 正 , Nakayama Tadashi ; born July 26, 1912 in Tokyo Prefecture ; † June 5, 1964 in Nagoya ) was a Japanese mathematician who studied algebra .

Live and act

Tadashi Nakayama graduated from Tokyo University in 1935 . He seems to have learned algebra in self-study from the book by Emmy Noether student Kenjiro Shoda . In 1935 he became a researcher and in 1937 an assistant professor at Osaka University . From 1937 to 1939 he was at the Institute for Advanced Study in Princeton , where he met Richard Brauer , Emil Artin , Claude Chevalley and Cecil J. Nesbitt . He was particularly influenced by Brauer, whom he visited twice in Toronto and who led him to study representation theory. In 1941 he received his doctorate from Osaka University . In 1942 he was assistant professor and in 1944 professor at Nagoya University . In 1948/49 he was at the University of Illinois , 1953 to 1955 at the University of Hamburg and in 1955/56 again at the Institute for Advanced Study. He died of complications from tuberculosis , which he had before 1937, but which he kept quiet at the time so that he could travel abroad.

Nakayama worked on modular representations of symmetrical groups , Galois theory of rings, and quasi-Frobenius rings. He was also interested in class field theory (in 1952 he introduced a cohomology there with Gerhard Hochschild ) and in the years before his death is said to have worked intensively into the revolutionary innovations in algebraic geometry by Alexander Grothendieck and his school, which worsened his health. The Nakayama lemma in commutative algebra is named after him.

With Gorō Azumaya he wrote an advanced book on algebra, in which they also presented many of their results.

In 1949 he won the Chūnichi Bunkashō Prize of the Chūnichi Shimbun newspaper with his scientific collaborator Gorō Azumaya . In 1954 he won the Nippon Gakushiin-shō Prize of the Japanese Academy of Sciences . From 1963 he was a member of the Japanese Academy of Sciences.

Fonts

Books

  • 局 所 類 体 論 (Local Class Field Theory ), 岩 波 書店 , 1935 (Japanese)
  • 束 論 (Association theory), 岩 波 書店 , 1944 (Japanese)
  • 代数 系 と 微分: 代 数学 よ り の 二三 の 話題 (Algebraic Structure and Derivation), 河 出 書房 , 1948 (Japanese)
  • 集合 ・ 位相 ・ 代数 系 (set, topology, algebraic structure), 至 文 堂 , 1949 (Japanese)
  • with Gorō Azumaya : 代 数学 II: 環 論 (Algebra II: ring theory), 岩 波 書店 , 1954 (Japanese)
  • with Akira Hattori: ホ モ ロ ジ ー 代 数学 (Homological Algebra), 共 立 出版 , 1957 (Japanese)

items

literature

  • Obituary: Tadasi Nakayama , Nagoya Mathematical Journal 27, 1966 (English; obituary; with picture; list of writings on pp. I – vii)

Web links

Individual evidence

  1. ↑ His dissertation On Frobenius Algebras appeared in several parts, see section Writings .
  2. ↑ 第 １ 回 ～ 第 １０ 回 受 賞 者 ： 中 日 文化 賞. Chūnichi Shimbun, accessed August 21, 2008 (Japanese).
  3. ↑ 恩賜 賞 ・ 日本 学士 院 賞 ・ 日本 学士 院 エ ジ ン バ ラ 公 賞 受 賞 者 一 覧 (50 音). Nippon Gakushiin (The Japan Academy), accessed August 21, 2008 (Japanese).
personal data
SURNAME Nakayama, Tadashi
ALTERNATIVE NAMES 中山 正 (Japanese); Nakayama, Tadasi
BRIEF DESCRIPTION Japanese mathematician
DATE OF BIRTH July 26, 1912
PLACE OF BIRTH Tokyo prefecture
DATE OF DEATH 5th June 1964
Place of death Nagoya