2009/05/22 by Fabrizio Caselli, Caselli, Fabrizio
Materials Science · Mathematics · #05E15 #Algebraic and Geometric Analysis #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #Synthesis and properties of polymers
paper · pdf · doi:10.48550/arxiv.0905.3649
openalex publication_date 2009/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A finite subgroup of GL(n,\mathbb C) is involutory if the sum of the dimensions of its irreducible complex representations is given by the number of absolute involutions in the group. A uniform combinatorial model is constructed for all non-exceptional irreducible complex reflection groups which are involutory including, in particular, all infinite families of finite irreducible Coxeter groups.