Lie Groups and Representation Theory
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Date, time & place | Tuesday 16:30 - 18:00 126Room #126 (Graduate School of Math. Sci. Bldg.) |
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2011/05/31
16:30-17:30 Room #126 (Graduate School of Math. Sci. Bldg.)
Hirotake Kurihara (Tohoku University)
On character tables of association schemes based on attenuated
spaces (JAPANESE)
Hirotake Kurihara (Tohoku University)
On character tables of association schemes based on attenuated
spaces (JAPANESE)
[ Abstract ]
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.
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.