Complex and bi-Hermitian structures on four-dimensional real Lie algebras

DOI10.1088/1751-8113/43/32/325210zbMath1201.22004arXiv1002.4285OpenAlexW1974229400MaRDI QIDQ3583357

A. Rezaei-Aghdam, M. Sephid

Publication date: 27 August 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.4285

zbMATH Keywords

Lie algebrasbi-Hermitian structurescomplex structures

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) General properties and structure of real Lie groups (22E15) Homogeneous complex manifolds (32M10)

Related Items (13)

Unnamed Item ⋮ Perturbed Wess-Zumino-Witten models and N=(2,2) supersymmetric sigma models on Lie groups with complex structure ⋮ Homogeneous 4-dimensional Kähler-Weyl structures ⋮ Integrable bi-Hamiltonian systems by Jacobi structure on real three-dimensional Lie groups ⋮ Static SKT metrics on Lie groups ⋮ Invariant Poisson–Nijenhuis structures on Lie groups and classification ⋮ Unnamed Item ⋮ Yang-Baxter deformations of WZW model on the Heisenberg Lie group ⋮ Classification of four-dimensional real Lie bialgebras of symplectic type and their Poisson-Lie groups ⋮ Integrable and superintegrable Hamiltonian systems with four dimensional real Lie algebras as symmetry of the systems ⋮ Poisson Lie symmetry and D-branes in WZW model on the Heisenberg Lie group \(H_4\) ⋮ WZW models as mutual super Poisson-Lie T-dual sigma models ⋮ Some remarks on invariant Poisson quasi-Nijenhuis structures on Lie groups

Uses Software

• Maple

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