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arXiv · 1712.03777

On $C$-bases, partition pairs and filtrations for induced or restricted Specht modules

Christos A. Pallikaros
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Abstract

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 $A=\mathbb Z[q^{1/2},q^{-1/2}]$ 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.

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BibTeXRIS

Christos A. Pallikaros. 2017-12-11. On $C$-bases, partition pairs and filtrations for induced or restricted Specht modules. https://arxiv.org/abs/1712.03777

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