Reduction groups and automorphic Lie algebras

DOI10.1007/s00220-005-1334-5zbMath1129.17013arXivmath-ph/0407048OpenAlexW2148516514WikidataQ59904217 ScholiaQ59904217MaRDI QIDQ2575370

Yanyan Li

Publication date: 9 December 2005

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

Full work available at URL: https://arxiv.org/abs/math-ph/0407048

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65)

Related Items (22)

On Mikhailov's reduction group ⋮ 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 ⋮ Wild local structures of automorphic Lie algebras ⋮ Polyhedral groups in ⋮ Hereditary automorphic Lie algebras ⋮ N-point Virasoro algebras are multipoint Krichever–Novikov-type algebras ⋮ Darboux transformations and recursion operators for differential-difference equations ⋮ Recursion and Hamiltonian operators for integrable nonabelian difference equations ⋮ G -Strands on symmetric spaces ⋮ Automorphic Lie algebras and corresponding integrable systems ⋮ Galois groups and group actions on Lie algebras ⋮ Darboux-Bäcklund transformations, dressing \& impurities in multi-component NLS ⋮ Wave fronts and cascades of soliton interactions in the periodic two dimensional Volterra system ⋮ On the classification of automorphic Lie algebras ⋮ Darboux transformations with tetrahedral reduction group and related integrable systems ⋮ Lenard scheme for two-dimensional periodic Volterra chain ⋮ Twisted hierarchies associated with the generalized sine-Gordon equation ⋮ Quasi-periodic functions on the torus and sl(n)-elliptic Lie algebra ⋮ A twisted integrable hierarchy with $\mathbb D_2$D2 symmetry

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Factorization of the loop algebra and integrable toplike systems
• The reduction problem and the inverse scattering method
• Algebras of Virasoro type, Riemann surfaces and structures of the theory of solitons
• Extension of the module of invertible transformations. Classification of integrable systems
• 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
• Some groups of Transformations defined by Jordan Algebras. III. Groups of Type E61.

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