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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.
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Contributor : Geoffrey Powell <>
Submitted on : Tuesday, September 25, 2018 - 12:01:41 PM
Last modification on : Monday, March 9, 2020 - 6:16:02 PM

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



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



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