Abstract
We construct explicit Sullivan’s minimal models of the rational polynomial de Rham complexes of the classifying spaces \(B\Gamma \) of torsion-free virtually polycyclic groups \(\Gamma \) with values in certain local systems by proving a Nomizu-type theorem on the simplicial de Rham cohomology of \(B\Gamma \).
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The author would like to thank the anonymous reviewers for their careful reading and many valuable comments and suggestions.
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Kasuya, H. Extended simplicial rational Nomizu’s Theorem and Sullivan’s minimal models for non-nilpotent groups. Geom Dedicata 216, 30 (2022). https://doi.org/10.1007/s10711-022-00691-w
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DOI: https://doi.org/10.1007/s10711-022-00691-w
Keywords
- Polycyclic group
- Sullivan’s minimal model
- Rational cohomology of algebraic group
- Simplicial de Rham theory