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arXiv · 0912.0839

On the Singer functor R_1 and the functor Fix

Geoffrey Powell
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Abstract

Lannes' T-functor is used to give a construction of the Singer functor R_1 on the category U of unstable modules over the Steenrod algebra A. This leads to a direct proof that the composite functor Fix R_1 is naturally equivalent to the identity. Further properties of the functors R_1 are deduced, especially when applied to reduced and nilclosed unstable modules.

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Geoffrey Powell. 2009-12-04. On the Singer functor R_1 and the functor Fix. https://arxiv.org/abs/0912.0839

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