Lie群論・表現論セミナー

過去の記録 ~06/17次回の予定今後の予定 06/18~

開催情報 火曜日 16:30~18:00 数理科学研究科棟(駒場) 126号室
担当者 小林俊行
セミナーURL https://www.ms.u-tokyo.ac.jp/~toshi/seminar/ut-seminar.html

2011年05月31日(火)

16:30-17:30   数理科学研究科棟(駒場) 126号室
栗原 大武 氏 (東北大学大学院理学研究科)
On character tables of association schemes based on attenuated
spaces (JAPANESE)
[ 講演概要 ]
An association scheme is a pair of a finite set $X$
and a set of relations $\\{R_i\\}_{0\\le i\\le d}$
on $X$ which satisfies several axioms of regularity.
The notion of association schemes is viewed as some axiomatized
properties of transitive permutation groups in terms of combinatorics, and also the notion of association schemes is regarded as a generalization of the subring of the group ring spanned by the conjugacy classes of finite groups.
Thus, the theory of association schemes had been developed in the
study of finite permutation groups and representation theory.
To determine the character tables of association schemes is an
important first step to a systematic study of association schemes, and is helpful toward the classification of those schemes.

In this talk, we determine the character tables of association schemes based on attenuated spaces.
These association schemes are obtained from subspaces of a given
dimension in attenuated spaces.