Tadashi Nakayama (mathematician)

Tadashi Nakayama or Tadasi Nakayama (中山 正, Nakayama Tadashi, July 26, 1912, Tokyo Prefecture – June 5, 1964, Nagoya) was a mathematician who made important contributions to representation theory.

Career

He received his degrees from Tokyo University and Osaka University and held permanent positions at Osaka University and Nagoya University. He had visiting positions at Princeton University, Illinois University, and Hamburg University. Nakayama's lemma, Nakayama algebras, Nakayama's conjecture and Murnaghan–Nakayama rule are named after him.

Selected works
  • Nakayama, Tadasi (1939), "On Frobeniusean algebras. I", Annals of Mathematics, Second Series, Annals of Mathematics, 40 (3): 611–633, Bibcode:1939AnMat..40..611N, doi:10.2307/1968946, JSTOR 1968946, MR 0000016
  • Nakayama, Tadasi (1941), "On Frobeniusean algebras. II" (PDF), Annals of Mathematics, Second Series, Annals of Mathematics, 42 (1): 1–21, doi:10.2307/1968984, JSTOR 1968984, MR 0004237
  • Tadasi Nakayama. A note on the elementary divisor theory in non-commutative domains. Bull. Amer. Math. Soc. 44 (1938) 719–723. MR1563855 doi:10.1090/S0002-9904-1938-06850-4
  • Tadasi Nakayama. A remark on representations of groups. Bull. Amer. Math. Soc. 44 (1938) 233–235. MR1563716 doi:10.1090/S0002-9904-1938-06723-7
  • 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. MR0001967 doi:10.1090/S0002-9904-1940-07235-0
  • Tadasi Nakayama and Junji Hashimoto. On a problem of G. Birkhoff . Proc. Amer. Math. Soc. 1 (1950) 141–142. MR0035279 doi:10.1090/S0002-9939-1950-0035279-X
  • Tadasi Nakayama. Remark on the duality for noncommutative compact groups . Proc. Amer. Math. Soc. 2 (1951) 849–854. MR0045131 doi:10.1090/S0002-9939-1951-0045131-2
  • Tadasi Nakayama. Orthogonality relation for Frobenius- and quasi-Frobenius-algebras . Proc. Amer. Math. Soc. 3 (1952) 183–195. MR0049876 doi:10.2307/2032255
  • Tadasi Nakayama. Galois theory of simple rings . Trans. Amer. Math. Soc. 73 (1952) 276–292. MR0049875 doi:10.1090/S0002-9947-1952-0049875-3
  • Masatosi Ikeda and Tadasi Nakayama. On some characteristic properties of quasi-Frobenius and regular rings . Proc. Amer. Math. Soc. 5 (1954) 15–19. MR0060489 doi:10.1090/S0002-9939-1954-0060489-9

References


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