3 papers
math.RT2026
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…
math.RA2025
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…
math.CO2025
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…