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Vector-Valued Invariants Associated with All Irreducible Representations for a Finite Group
A. K. M. Selim Reza, Manabu Oura, Masashi Kosuda
We investigate the complex reflection group associated with the octahedral group, identified as the ninth entry in the Shephard-Todd classification. We determine all…
Centralizer algebras of the group associated to -codes
Masashi Kosuda, Manabu Oura
The purpose of this paper is to investigate the finite group which appears in the study of the Type II -codes. To be precise, it is characterized in terms of generato…
Centralizer algebras of the primitive unitary reflection group of order
Masashi Kosuda, Manabu Oura
Among the unitary reflection groups, the one on the title is singled out by its importance in, for example, coding theory and number theory. In this paper we start with describing…
Partition Algebra, its Characterization and Representations
Masashi Kosuda
In this note we give representations for the partition algebra A_3(Q) in Young's seminormal form. For this purpose, we also give characterizations of A_n(Q) and$A_{n-1/2}(Q).