Faculty of Science and Technology, Department of Information and Communication Sciences
Job title
Associate Professor
Degree
修士（理学）(上智大学)
Research funding number
50276515
J-Global ID
200901015517108370
Profile
1995-2008 Dept. Mathematics Sophia University, Research on the representation theory of reflection groups and Iwahori-Hecke algebras (19998 Sept.-1999 Aug. Université de Picardie Jules Verne[France], Research on braid groups) 2008-present Dept. Information and communication Sciences Sophia University, Research on the representation theory of reflection groups and Iwahori-Hecke algebras(Subject of research) Representation theory of Iwahori-Hecke algebras and reflection groups
Research Interests
string C-group
,Gauss sum
,Markov trace
,reflection group
,Iwahori-Hecke algebra
Research Areas
Natural sciences / Algebra /
Education
Apr 1992
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Mar 1995
Sophia University Graduate School, Division of Science and Engineering
TOKYO JOURNAL OF MATHEMATICS 39(3) 583-596 Mar 2017 [Refereed]
In this paper, we determine (tau q) over tilde (X-q(lambda)), the Gauss sums on the Iwahori-Hecke algebras of type A for irreducible characters X-q(lambda), which are q-analogues of those on the symmetric groups. We also explicitly determine the v...
TOKYO JOURNAL OF MATHEMATICS 35(1) 165-179 Jun 2012
We shall discuss Gauss sums on finite groups and give several examples including the case of the complex reflection groups G(m, r, n), and hence finite symmetric groups, and also finite Weyl groups.
Sophia University