was a

Japanese Japanese may refer to: * Something from or related to Japan, an island country in East Asia * Japanese language, spoken mainly in Japan * Japanese people, the ethnic group that identifies with Japan through ancestry or culture ** Japanese diaspor ...

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

who worked in

algebraic number theory Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations. Number-theoretic questions are expressed in terms of properties of algebraic ob ...

Biography

Tannaka was born in

Matsuyama file:Matsuyama city office Ehime prefecture Japan.jpg, 270px, Matsuyama City Hall file:Ehimekencho-20040417.JPG, 270px, Ehime Prefectural Capital Building is the capital Cities of Japan, city of Ehime Prefecture on the island of Shikoku in Japan ...

Ehime Prefecture is a prefecture of Japan located on the island of Shikoku. Ehime Prefecture has a population of 1,342,011 (1 June 2019) and has a geographic area of 5,676 km2 (2,191 sq mi). Ehime Prefecture borders Kagawa Prefecture to the northeast, Toku ...

on December 27, 1908. After receiving a Bachelor of Science in mathematics from

Tohoku Imperial University , or is a Japanese national university located in Sendai, Miyagi in the Tōhoku Region, Japan. It is informally referred to as . Established in 1907, it was the third Imperial University in Japan and among the first three Designated National ...

in 1932, he was appointed a lecturer in the university in 1934 and received a

Doctor of Science Doctor of Science ( la, links=no, Scientiae Doctor), usually abbreviated Sc.D., D.Sc., S.D., or D.S., is an academic research degree awarded in a number of countries throughout the world. In some countries, "Doctor of Science" is the degree used f ...

degree from the university in 1941. He was promoted to assistant professor in 1942 and full professor in 1945. Tannaka was a member at the

Institute for Advanced Study The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent scholar ...

from September 1955 to April 1957. Tannaka retired from Tohoku University in 1972, after which he served as a full professor at

Tohoku Gakuin University is a private university in Sendai, Japan. It was founded under a Christian background (specifically the German Reformed Church, which later was known as the Reformed Church in the United States. A large part of the Reformed Church in the United S ...

until 1981. Tannaka was an editor of the

Tohoku Mathematical Journal The ''Tohoku Mathematical Journal'' is a mathematical research journal published by Tohoku University in Japan. It was founded in August 1911 by Tsuruichi Hayashi. History Due to World War II the publication of the journal stopped in 1943 with ...

and a member of the board of directors of the

Mathematical Society of Japan The Mathematical Society of Japan (MSJ, ja, 日本数学会) is a learned society for mathematics in Japan. In 1877, the organization was established as the ''Tokyo Sugaku Kaisha'' and was the first academic society in Japan. It was re-organized ...

. Tannaka was also in charge of the "Mathematics Chat" article series in the monthly ' magazine from 1960 onwards. Tannaka died in Tokyo on October 25, 1986.

Research

Tannaka is known for developing the theory of

Tannaka–Krein duality In mathematics, Tannaka–Krein duality theory concerns the interaction of a compact topological group and its category of linear representations. It is a natural extension of Pontryagin duality, between compact and discrete commutative topologic ...

, which generalizes

Pontryagin duality In mathematics, Pontryagin duality is a duality (mathematics), duality between locally compact abelian groups that allows generalizing Fourier transform to all such groups, which include the circle group (the multiplicative group of complex numb ...

noncommutative In mathematics, a binary operation is commutative if changing the order of the operands does not change the result. It is a fundamental property of many binary operations, and many mathematical proofs depend on it. Most familiar as the name o ...

compact group In mathematics, a compact (topological) group is a topological group whose topology realizes it as a compact topological space (when an element of the group is operated on, the result is also within the group). Compact groups are a natural gen ...

s and led to the development of

Tannakian formalism In mathematics, a Tannakian category is a particular kind of monoidal category ''C'', equipped with some extra structure relative to a given field ''K''. The role of such categories ''C'' is to approximate, in some sense, the category of linear re ...

Awards

Tannaka was a recipient of the Order of the Rising Sun (3rd Class) in 1980.

References

{{DEFAULTSORT:Tannaka, Tadao 20th-century Japanese mathematicians 1908 births 1986 deaths Tohoku University faculty Tohoku University alumni Institute for Advanced Study visiting scholars Tohoku_Gakuin_University_faculty People from Matsuyama, Ehime

Biography

Research

Awards

See also

References