Nakayama, Tadashi

Tadashi Nakayama ( Jap. 中山 正 , July 26, 1912 - June 5, 1964 ) - Japanese mathematician - algebraist .

Born in Tokyo Prefecture , studied at , and then at Tokyo University . In 1935, he defended his diploma as a student of Teiji Takagi , and received the post of assistant at Osaka University . Kenjiro Shoda , who was a student of Emmy Noether , had a great influence on his scientific interests ^[1] . In 1937, Nakayama received an invitation to the Institute for Advanced Study at Princeton and remained there until 1939. In Princeton, he met with Emil Artin , Hermann Weil and Claude Chevalley , and Richard Brower , a former professor at the University of Toronto , invited him to make two visits to Toronto. In 1941, Nakayama received a Ph.D. and a year later moved to Nagoya University , in 1944 he received the post of professor. After that, he worked at Nagoya University, and also attended Illinois (1948–49), Hamburg and Princeton (1953–55) universities.

Many of Nakayama's works relate to the theory of modular representations of symmetric groups , the theory of representations of and the Galois theory of rings . He also wrote books on local class field theory, lattice theory, and homological algebra ; in total, he published 122 articles ^[2] .

Nakayama was one of the founders and editor-in-chief of the Nagoya Mathematical Journal, editor of Acta Arithmetica and Proceedings of the Mathematical Society of Japan . In 1953 he was awarded the prize of the Japanese Academy and in 1963 he was elected a member of it ^[2] . The famous Nakayama lemma in commutative algebra is named in his honor.

He died in 1964 from tuberculosis ^[1] .