1 citations · 2 across the 9 of their papers we have counts for
9 papers
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…
On the Structure of Multilinear Invariants of a Finite Unitary Reflection Group
A. K. M. Selim Reza, Manabu Oura, Masashi Kosuda
We study the space of multilinear invariants \( V_f \) of degree \( f \) for a specified finite unitary reflection group. A subspace \( W_f \) of typical invariants is also introdu…
Some calculations of centralizer rings of a complex reflection group
Masashi Kosuda, Manabu Oura, Sarbaini
Let H1 be the complex reflection group of order 96. For the tensor products of faithful transitive permutation representations of H1, we determine the structures of the centralizer…
Computation of Vector-Valued Invariants for a Finite Complex Reflection Group
A. K. M. Selim Reza, Manabu Oura, Masashi Kosuda +1
We consider the complex reflection group \( \mathcal{G} \), identified as No. 8 in the Shephard-Todd classification. In this paper, we present computations of the vector-valued inv…
Centralizer Algebras of Two Permutation Groups of Order 1344
M. Kosuda, M. Oura, Sarbaini
There are two permutation groups that they share the same character table of order 1344. We take up natural representations on 8 and 14 letters respectively. The purpose of this pa…
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…
Coxeter elements of the symmetric groups whose powers afford the longest
Masashi Kosuda
In this article, we first show that in case is even which Coxeter element in affords the longest by taking its power to . We also show that in case …
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).