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Derived functors of the
divided power functors
Lawrence Breen, Roman Mikhailov and Antoine Touzé |
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Geometry & Topology 20 (2016) 257–352
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Abstract |
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We study the derived functors of the components of the divided power algebra associated to an abelian group , with special emphasis on the case. While our results have applications both to representation theory and to algebraic topology, we illustrate them here by providing a new functorial description of certain integral homology groups of the Eilenberg–Mac Lane spaces for a free abelian group. In particular, we give a complete functorial description of the groups for such . |
Keywords
strict polynomial functors, derived functors of
non-additive functors, Eilenberg–Mac Lane spaces
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Mathematical Subject Classification 2010
Primary: 18G55
Secondary: 55P20
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References |
Publication
Received: 28 February 2014
Revised: 29 January 2015
Accepted: 3 April 2015
Published: 29 February 2016
Proposed: Paul Goerss
Seconded: Ralph Cohen, Haynes Miller
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Authors |
| Lawrence Breen | |
| LAGA, CNRS (UMR 7539) Université Paris 13 99, avenue Jean-Baptiste Clément F-93430 Villetaneuse France |
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| http://www.math.univ-paris13.fr/~breen | |
| Roman Mikhailov | |
| Chebyshev Laboratory St Petersburg State University St Petersburg Department of Steklov Mathematical Institute 14th Line, 29b Saint Petersburg 199178 Russia |
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| http://www.chebyshev.spb.ru/roman_mikhailov | |
| Antoine Touzé | |
| Laboratoiré Paul Painlevé, CNRS (UMR
8524) Université Lille 1 F-59000 Lille France |
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| http://math.univ-lille1.fr/~touze | |
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