Refined Gelfand models for some finite complex reflection groups
Fulci, Roberta <1982>
Subject
MAT/02 Algebra
Description
In 'Involutory reflection groups and their models' (F. Caselli, 2010), a uniform Gelfand model is constructed for all complex reflection groups G(r,p,n) satisfying GCD(p,n)=1,2 and for all their quotients modulo a scalar subgroup. The present work provides a refinement for this model. The final decomposition obtained is compatible with the Robinson-Schensted generalized correspondence.
Fulci, Roberta (2011) Refined Gelfand models for some finite complex reflection groups, [Dissertation thesis], Alma Mater Studiorum Università di Bologna. Dottorato di ricerca in Matematica , 23 Ciclo. DOI 10.6092/unibo/amsdottorato/3719.