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Preprints, Working Papers, ... Year : 2018

Symmetric powers, indecomposables and representation stability

Abstract

Working over the prime field F_p, the structure of the indecomposables Q^* for the action of the algebra of Steenrod reduced powers A(p) on the symmetric power functors S^* is studied by exploiting the theory of strict polynomial functors. In particular, working at the prime 2, representation stability is exhibited for certain related functors, leading to a Conjectural representation stability description of quotients of Q^* arising from the polynomial filtration of symmetric powers.

Dates and versions

hal-01880915 , version 1 (25-09-2018)

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Geoffrey Powell. Symmetric powers, indecomposables and representation stability. 2018. ⟨hal-01880915⟩
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