Branching properties for the groups G(de,e,r)

2007/11/12 by Marin, Ivan
#20C99 #20F55 #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.0711.1845

Abstract

We study general properties of the restriction of the representations of the finite complex reflection groups G(de,e,r+1) to their maximal parabolic subgroups of type G(de,e,r), and focus notably on the multiplicity of components. In combinatorial terms, this amounts to the following question : which symmetries arise or disappear when one changes (exactly) one pearl in a combinatorial necklace ?

Related

• Reflection Groups. A Contribution to the Handbook of Algebra
• Reflection groups acting on their hyperplanes
• On Rank 2 Complex Reflection Groups
• The BMM Symmetrising Trace Conjecture for Families of Complex Reflection Groups of Rank Two
• Reflections in abstract Coxeter groups