On C-Bases, Partition Pairs and Filtrations for Induced or Restricted Specht Modules
Date
2019ISSN
1005-3867Source
Algebra ColloquiumVolume
26Issue
1Pages
161-180Google Scholar check
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We obtain alternative explicit Specht filtrations for the induced and the restricted Specht modules in the Hecke algebra of the symmetric group (defined over the ring A = ℤ[q1/2, q−1/2], where q is an indeterminate) using C-bases for these modules. Moreover, we provide a link between a certain C-basis for the induced Specht module and the notion of pairs of partitions.