4 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…
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…
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…