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.
Type de document :
Pré-publication, Document de travail
35 pages. Comments welcome. 2018
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https://hal.archives-ouvertes.fr/hal-01880915
Contributeur : Geoffrey Powell <>
Soumis le : mardi 25 septembre 2018 - 12:01:41
Dernière modification le : mardi 30 octobre 2018 - 14:07:17

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  • HAL Id : hal-01880915, version 1
  • ARXIV : 1809.08781

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Geoffrey Powell. Symmetric powers, indecomposables and representation stability. 35 pages. Comments welcome. 2018. 〈hal-01880915〉

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