Flat manifolds with holonomy representation of quaternionic type

DOI10.1080/00927872.2020.1834568zbMath1504.20013arXiv2002.07525OpenAlexW3097356138MaRDI QIDQ5856296

Gerhard Hiss, Rafał Lutowski, Andrzej Szczepański

Publication date: 25 March 2021

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.07525

zbMATH Keywords

Frobenius-Schur indicatorhyper-Kähler manifoldBieberbach groupquaternionic representationflat manifold

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Other geometric groups, including crystallographic groups (20H15) Geometric structures on manifolds of high or arbitrary dimension (57N16)

Uses Software

• GAP

Cites Work

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• On torsion free crystallographic groups
• Gruppen, deren nichtlineare Charaktere von symplektischem Typ sind
• Characters of finite groups. Volume 1
• Normal \(p\)-complements and irreducible characters
• Geometry of Crystallographic Groups
• Quaternionic Kaehler Manifolds
• Quaternion Kähler flat manifolds

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