A New Approach to the Representation Theory of the Symmetric Groups, Iii: Induced Representations and the Frobenius–young Correspondence
نویسندگان
چکیده
We give a new (inductive) proof of the classical Frobenius– Young correspondence between irreducible complex representations of the symmetric group and Young diagrams, using the new approach, suggested in [11], [15], to determining this correspondence. We also give linear relations between Kostka numbers that follow from the decomposition of the restrictions of induced representations to the previous symmetric subgroup. We consider a realization of representations induced from Young subgroups in polylinear forms and describe its relation to Specht modules. 2000 Math. Subj. Class. 05E05, 81R05.
منابع مشابه
REPRESENTATIONS OF THE SYMMETRIC GROUPS AND COMBINATORICS OF THE FROBENIUS-YOUNG CORRESPONDENCE By MATTHEW
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