Reconstruction from Representations: Jacobi via Cohomology

zbMath1430.17059arXiv1611.05334MaRDI QIDQ4604088

Boris S. Kruglikov, Henrik Winther

Publication date: 23 February 2018

Full work available at URL: https://arxiv.org/abs/1611.05334

zbMATH Keywords

Lie algebra cohomologyhomogeneous spacenon-reductive isotropy

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Structure theory for Lie algebras and superalgebras (17B05) Homological methods in Lie (super)algebras (17B55) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items

Erratum to: ``Almost complex structures in 6D with non-degenerate Nijenhuis tensors and large symmetry groups ⋮ Non-degenerate para-complex structures in 6D with large symmetry groups ⋮ Submaximally symmetric quaternion Hermitian structures

Cites Work

• Homogeneous almost complex structures in dimension 6 with semi-simple isotropy
• Spencer cohomology and 11-dimensional supergravity
• The gap phenomenon in parabolic geometries
• Almost complex structures in 6D with non-degenerate Nijenhuis tensors and large symmetry groups
• Generalized Spencer cohomology and filtered deformations of \(\mathbb Z\)-graded Lie superalgebras
• Lie algebra cohomology and the generalized Borel-Weil theorem
• Deformation of transitive Lie algebras
• Symmetries of almost complex structures and pseudoholomorphic foliations
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