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20152025
most citedCentralizer Algebras of Two Permutation Groups of Order 1344

1 citations · 1 across the 4 of their papers we have counts for

collaborators

5 papers

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…

math.CO2025

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…

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.GM20241 cited

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…

math.RT2015

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…