Matsushima Yozo

Matsushima Yozō ( Japanese 松 島 与 三 ; * February 21, 1921 in Sakai , Osaka Prefecture , † April 9, 1983 in Osaka ) was a Japanese mathematician.

Life

Matsushima studied at Osaka University , where he was a student of Shōda Kenjirō . In 1942 he graduated and became an assistant at the Mathematical Institute of the then newly founded Nagoya University . He worked on Lie algebras and refuted a conjecture by Hans Julius Zassenhaus and proved some of Claude Chevalley's results independently of this, since he did not know his publications due to the war. Further results could only appear in 1950 due to publication problems in Japan in the post-war years. In the early 1950s he worked on pseudo-groups and systems of differential forms. One of his students at the time was Kuranishi Masatake . In 1953 he received a full professorship at Nagoya University and in the fall of 1953 Claude Chevalley visited him. The following year he returned his visit to France (Strasbourg, Paris). Among other things, he presented his results on the classification of real Lie algebras in Charles Ehresmann's seminar in Strasbourg and in 1955 gave a lecture on Lie pseudo-groups in the Bourbaki seminar in Paris. In 1960 he succeeded Shōda Kenjirō as professor of algebra at Osaka University. He now turned increasingly to differential geometry and published on the cohomology of locally symmetrical spaces, partly with Shingo Murakami . In 1962 he was at the Institute for Advanced Study . In 1965 he organized with Yano Kentarō and Nomizu Katsumi a joint Japanese-American seminar on differential geometry in Kyoto and in 1965/66 he was visiting professor at the University of Grenoble . In 1966 he became a professor at the University of Notre Dame . In 1980 he returned to Japan and was again a professor in Osaka. In 1983 he died of pneumonia.

He dealt with Lie groups and differential geometry (also in complex) as well as related areas such as discrete groups, unitary representations and functions of several complex variables.

In 1962 he received the Asahi Prize for his work on continuous groups (Lie groups). From 1967 he was co-editor of the Journal of Differential Geometry.

literature

• Manifolds and Lie groups: Papers in honor of Yozô Matsushima . In: J. Hano u. a. (Ed.): Progress in Mathematics . Vol. 14. Birkhäuser, 1981 (with appreciation from Shingo Murakami). , Reprinted in Osaka Journal of Mathematics . Vol. 21, No. 1 , 1984, p. i-ii ( online ).
• Shōshichi Kobayashi : The mathematical work of Y. Matsushima and its development . In: Osaka Journal of Mathematics . Vol. 21, No. 1 , 1984, p. iii-xix ( online ).

Web links

• John J. O'Connor, Edmund F. Robertson :  Matsushima Yozō. In: MacTutor History of Mathematics archive .

Individual evidence

1. ↑ That every semi-simple Lie algebra L over a field with prime number characteristic and [L, L] = L is the direct sum of simple ideals
2. ↑ That the Cartan subalgebras are conjugated to a complex Lie algebra

Japanese name: As is common in Japan, the family name comes before the first name in this article . Thus Matsushima is the family name, Yozō the first name.