Abelian hypercomplex structures on central extensions of \(H\)-type Lie algebras.

DOI10.1016/S0022-4049(00)00022-0zbMath1057.17008WikidataQ115340179 ScholiaQ115340179MaRDI QIDQ5931462

María Laura Barberis

Publication date: 4 July 2001

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Other complex differential geometry (53C56) Solvable, nilpotent (super)algebras (17B30)

Related Items

Stepwise square integrable representations of nilpotent Lie groups ⋮ Abelian complex structures and generalizations ⋮ Affine connections on homogeneous hypercomplex manifolds

Cites Work

• Riemannian nilmanifolds attached to Clifford modules
• Harmonic analysis on solvable extensions of H-type groups
• Geometry of hyper-Kähler connections with torsion
• Abelian hypercomplex 8-dimensional nilmanifolds
• Explicit Spin Representations and Lie Algebras of Heisenberg Type
• Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms
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