Resolutions of certain unstable modules and Minc's partition function
type: Item
instance of: scholarly article
title: Resolutions of certain unstable modules and Minc's partition function
zbMATH Open document ID: 1170.18008
author: Dang Ho Hai Nguyen
author: Lionel Schwartz
author: Ngoc Nam Tran
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2009-06-10T00:00:00Z
review text: Basing on a combinatorial result of \textit{G. E. Andrews} [Pac. J. Math. 95, 251--256 (1981; Zbl 0514.10007)], the authors construct minimal injective resolutions of certain unstable modules which appear as mod \(2\) cohomology of Thom spectra. The terms of those resolutions are tensor products of Brown-Gitler and Steinberg modules [\textit{S. A.\ Mitchell} and \textit{S. B.\ Priddy}, Topology 22, 285--298 (1983; Zbl 0526.55010)]. Homotopical applications as ``Segal conjecture'' type results, are presented. No proofs are given.
reviewed by: Marek Golasiński
Mathematics Subject Classification ID: 18G10
Mathematics Subject Classification ID: 55P42
zbMATH DE Number: 5563759
zbMATH Keywords: Brown-Gitler (Steinberg) module
zbMATH Keywords: minimal injective resolution
zbMATH Keywords: Poincarè series
zbMATH Keywords: Thom spectra
MaRDI profile type: Publication
full work available at URL: j.crma.2009.04.009
OpenAlex ID: W2010233249
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DOI: 10.1016/J.CRMA.2009.04.009
description: scientific article; zbMATH DE number 5563759