Complex Product Structures on Lie Algebras
Adrian Andrada, Simon Salamon
Abstract
A study is made of real Lie algebras admitting compatible complex and product structures, including numerous 4-dimensional examples. If g is a Lie algebra with such a structure then its complexification has a hypercomplex structure. It is shown in addition that g splits into the sum of two left-symmetric subalgebras. Interpretations of these results are obtained that are relevant to the theory of both hypercomplex and hypersymplectic manifolds and their associated connections.
Create a lesson
Related papers
Polynomial Maximal Surfaces in H2,2 and Spherical Polygons
Parker Evans, Alex Moriani
Stratification of opers with apparent singularities and isomonodromic bubbling
Duong Dinh, Troy Figiel, Joerg Teschner
Extending Donaldson's HyperKähler Structure via Minimal Surfaces into PSL(2,C)
Christian El Emam, Filippo Mazzoli, Nicholas Rungi et al.
Observing minimal submanifolds with isolated singularities on open sets of metrics
Alessandro Carlotto, Yangyang Li, Zhihan Wang
The Hopf conjecture with T3-symmetry
Jan Nienhaus, Dennis Wulle
Schwarz P and Schwarz D as free-boundary minimal disks in a tetragonal disphenoid: exact areas
Steven Finch