was a mathematician who made important contributions to representation theory.

Career

He received his degrees from Tokyo University and

Osaka University , abbreviated as , is a public research university located in Osaka Prefecture, Japan. It is one of Japan's former Imperial Universities and a Designated National University listed as a "Top Type" university in the Top Global University Project. ...

and held permanent positions at

and

Nagoya University , abbreviated to or NU, is a Japanese national research university located in Chikusa-ku, Nagoya. It was the seventh Imperial University in Japan, one of the first five Designated National University and selected as a Top Type university of T ...

. He had visiting positions at Princeton University,

Illinois University The University of Illinois Urbana-Champaign (U of I, Illinois, University of Illinois, or UIUC) is a public land-grant research university in Illinois in the twin cities of Champaign and Urbana. It is the flagship institution of the University ...

, and

Hamburg University The University of Hamburg (german: link=no, Universität Hamburg, also referred to as UHH) is a public research university in Hamburg, Germany. It was founded on 28 March 1919 by combining the previous General Lecture System ('' Allgemeines Vor ...

Nakayama's lemma In mathematics, more specifically abstract algebra and commutative algebra, Nakayama's lemma — also known as the Krull–Azumaya theorem — governs the interaction between the Jacobson radical of a ring (typically a commutative ring) and ...

Nakayama algebra In algebra, a Nakayama algebra or generalized uniserial algebra is an algebra such that each left or right indecomposable projective module has a unique composition series. They were studied by who called them "generalized uni-serial rings". Thes ...

Nakayama's conjecture In mathematics, Nakayama's conjecture is a conjecture about Artinian rings, introduced by . The generalized Nakayama conjecture is an extension to more general rings, introduced by . proved some cases of the generalized Nakayama conjecture. Nakaya ...

and Murnaghan–Nakayama rule are named after him.

Selected works

* * * Tadasi Nakayama. A note on the elementary divisor theory in non-commutative domains. Bull. Amer. Math. Soc. 44 (1938) 719–723. * Tadasi Nakayama. A remark on representations of groups. Bull. Amer. Math. Soc. 44 (1938) 233–235. * Tadasi Nakayama. A remark on the sum and the intersection of two normal ideals in an algebra. Bull. Amer. Math. Soc. 46 (1940) 469–472. * Tadasi Nakayama and Junji Hashimoto. On a problem of G. Birkhoff . Proc. Amer. Math. Soc. 1 (1950) 141–142. * Tadasi Nakayama. Remark on the duality for noncommutative compact groups . Proc. Amer. Math. Soc. 2 (1951) 849–854. * Tadasi Nakayama. Orthogonality relation for Frobenius- and quasi-Frobenius-algebras . Proc. Amer. Math. Soc. 3 (1952) 183–195. * Tadasi Nakayama. Galois theory of simple rings . Trans. Amer. Math. Soc. 73 (1952) 276–292. * Masatosi Ikeda and Tadasi Nakayama. On some characteristic properties of quasi-Frobenius and regular rings . Proc. Amer. Math. Soc. 5 (1954) 15–19.

References

External links

* * * https://www.math.uni-bielefeld.de/~sek/collect/nakayama.html 1912 births 1964 deaths Algebraists 20th-century Japanese mathematicians Osaka University alumni Academic staff of Osaka University Academic staff of Nagoya University {{Asia-mathematician-stub