I have retired from Kyushu University on March 31st, 2019.
But this page as well as the email address below will survive (I am titled Professor Emeritus).

Takaaki NOMURA

--- Last Modified: August 31, 2019 ---

Major Field:

Analysis with Group Representations.

Recent Works:

A proof of Hobson's formula with the Euler operator, Kyushu J. Math., 72 (2018), 423 --427.
A Characterization of symmetric cones by the degrees of basic relative invariants, joint work with T. Yamasaki, Kyushu J. Math., 70 (2016), 237--257.
Realization of homogeneous cones through oriented graphs, joint work with T. Yamasaki, Kyushu J. Math., 69 (2015), 11--48.
Basic relative invariants on the dual clans obtained by representations of Euclidean Jordan algebras, joint work with H. Nakashima, Rev. Roumaine Math. Pures Appl., 59 (2014), 443--451.
Clans defined by representations of Euclidean Jordan algebras and the associated basic relative invariants, joint work with H. Nakashima, Kyushu J. Math., 67 (2013), 163--202.
Right multiplication operators in the clan structure of a Euclidean Jordan algebra, Tambov University Reports, 16 (2011), 1717--1721.

Recent Slides in English:

Realization of homogeneous cones through oriented graphs, PDF file 565Kb, for talks at Clermond-Ferrand (May, 2014), Sfax (November 2014), Tunis (November 2014), Reims (February 2015), and Nancy (February 2015), Iasi (July 2015).
Homogeneous convex cones and basic relative invariants, PDF file 455Kb, for talks at Lorentz Center (November 2013), and Ploieşti (September 2013).
Homogeneous convex cones associated to representatikons of Euclidean Jordan algebras, PDF file 1.4MB (movies included), for talks at Brno (September 2012), Hong Kong (April 2012), and Luminy (October 2012), RIMS (June 2013).