Centralizer algebras of the primitive unitary reflection group of order 96

2015/05/02 by Masashi Kosuda, Kosuda, Masashi, Manabu Oura +1 · 3 citations
Computer Science · Mathematics · #05E0 #05E10 #05E18 #5 05E15 #Algebraic structures and combinatorial models #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1505.00318

openalex publication_date 2015/05/02 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

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 the irreducible representations of this group and then examine the semi-simple structure of the centralizer algebra in the tensor representation.

Cited by

• On the Structure of Multilinear Invariants of a Finite Unitary Reflection Group
• Some calculations of centralizer rings of a complex reflection group
• Computation of Vector-Valued Invariants for a Finite Complex Reflection Group

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