Double products and hypersymplectic structures on \(\mathbb R^{4n}\)

DOI10.1007/s00220-005-1472-9zbMath1105.53037arXivmath/0401294OpenAlexW2051540409MaRDI QIDQ852376

Isabel G. Dotti, Adrián Andrada

Publication date: 29 November 2006

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0401294

zbMATH Keywords

3-step nilpotent double Lie group

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26)

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Cites Work

• Poisson Lie groups, dressing transformations, and Bruhat decompositions
• The structure of complete left-symmetric algebras
• Homogeneous symplectic manifolds and dipolarizations in Lie algebras
• Actions for \((2,1)\) sigma models and strings
• Neutral Calabi-Yau structures on Kodaira manifolds
• Hypersymplectic Lie algebras
• KLEINIAN GEOMETRY AND THE N = 2 SUPERSTRING
• Complex product structures on Lie algebras
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