A new approach to the representation theory of the symmetric groups, III: Induced representations and the Frobenius--Young correspondence
| dc.creator | Vershik, A. | |
| dc.date | 2006-09-09 | |
| dc.date.accessioned | 2026-07-07T07:24:41Z | |
| dc.date.available | 2026-07-07T07:24:41Z | |
| dc.description | 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 \cite{OV, VO}, 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. | |
| dc.description | 22p. Ref.17 | |
| dc.identifier | https://arxiv.org/abs/math/0609258 | |
| dc.identifier | http://arxiv.org/abs/math/0609258 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116453 | |
| dc.subject | Representation Theory | |
| dc.subject | 20B30, 20C30 | |
| dc.title | A new approach to the representation theory of the symmetric groups, III: Induced representations and the Frobenius--Young correspondence | |
| dc.type | text |