On the classification of automorphic Lie algebras

DOI10.1007/s00220-010-1092-xzbMath1239.17025arXiv0912.1697OpenAlexW2162398152MaRDI QIDQ707585

Jan A. Sanders, Sara Lombardo

Publication date: 8 October 2010

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

Full work available at URL: https://arxiv.org/abs/0912.1697

zbMATH Keywords

invariant theoryautomorphic Lie algebrareduction of integrable equation

Mathematics Subject Classification ID

Related Items (11)

Module structure of the center of the universal central extension of a genus zero Krichever-Novikov algebra ⋮ Darboux transformation with dihedral reduction group ⋮ Higher-dimensional automorphic Lie algebras ⋮ Reduction groups and related integrable difference systems of nonlinear Schrödinger type ⋮ Polyhedral groups in ⋮ Hereditary automorphic Lie algebras ⋮ N-point Virasoro algebras are multipoint Krichever–Novikov-type algebras ⋮ Automorphic Lie algebras and corresponding integrable systems ⋮ Darboux transformations with tetrahedral reduction group and related integrable systems ⋮ Twisted hierarchies associated with the generalized sine-Gordon equation ⋮ A twisted integrable hierarchy with $\mathbb D_2$D2 symmetry

Uses Software

• FORM

Cites Work

• The reduction problem and the inverse scattering method
• Poincaré series of binary polyhedral groups and McKay's correspondence
• Kernels of projective representations of finite groups
• Exotic deformation quantization
• Dynamical symmetry of integrable quantum systems
• Reduction groups and automorphic Lie algebras
• N -wave interactions related to simple Lie algebras. ℤ ₂ -reductions and soliton solutions
• Reductions ofN-wave interactions related to low-rank simple Lie algebras: I. ℤ₂-reductions
• Reductions of integrable equations: dihedral group
• Averaging methods in nonlinear dynamical systems
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