Colored-descent representations of complex reflection groups G(r, p, n)

Eli Bagno, Riccardo Biagioli

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

Abstract

We study the complex reflection groups G(r, p, n). By considering these groups as subgroups of the wreath products ℤr, Sn, and by using Clifford theory, we define combinatorial parameters and descent representations of G(r, p, n), previously known for classical Weyl groups. One of these parameters is the flag major index, which also has an important role in the decomposition of these representations into irreducibles. A Carlitz type identity relating the combinatorial parameters with the degrees of the group, is presented.

Original languageEnglish
Pages (from-to)317-347
Number of pages31
JournalIsrael Journal of Mathematics
Volume160
DOIs
StatePublished - Aug 2007
Externally publishedYes

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