Nagayoshi Iwahori

Nagayoshi Iwahori ( Japanese 岩 堀 長慶 , Iwahori Nagayoshi ; * 1926 in Japan ; † May 29, 2011 ) was a Japanese mathematician who dealt with algebra and especially algebraic groups , Lie groups and Lie algebras .

Iwahori received his doctorate from Shokichi Iyanaga at the University of Tokyo in 1960/61 ( リ ー 環 の 実 既 約 表現 に つ い て , Lie-kan no jitsukiyaku hōgen ni tsuite , English On real irreducible representations of Lie algebras ). As a post-doctoral student , he was at the Institute for Advanced Study (IAS) from 1960 to 1962 . From 1964 he was a professor at the University of Tokyo. In 1986 he retired. He then taught at Sophia University .

Iwahori-Hecke algebras, also called Hecke algebras, but this is ambiguous, are named after Iwahori and Erich Hecke . They are one-parameter deformations of the group algebra of Coxeter groups and play a role in the theory of Artin's braid groups and quantum groups and in the construction of knot invariants by Vaughan Jones . Also, Iwahori subsets of algebraic groups over local fields are named after him.

In 2007 he received the Order of the Holy Treasure .

Fonts

• On real irreducible representations of Lie algebras . In: Nagoya Mathematical Journal . Vol. 14, 1959, pp. 59-83 ( full text ).
• with Hideya Matsumoto : On some Bruhat decomposition and the structure of the Hecke rings of p-adic Chevalley groups, Publications Mathématiques de l'IHÉS, Volume 25, 1966, pp. 5-48

Individual evidence

1. ↑ Date of Birth Encyclopedic Dictionary of Mathematics, MIT Press 1993, Name Register
2. ↑ ^{a b} IAS Membership Book 1980
3. ↑ Entry 000007858121 in the Doctoral Dissertation Bibliographic Database of the National Institute of Informatics
4. ↑ Nagayoshi Iwahori in the Mathematics Genealogy Project (English) . Date of doctorate according to IAS membership book 1980.