2 papers
math-ph2004
Reduction Groups and Automorphic Lie Algebras
S. Lombardo, A. V. Mikhailov
We study a new class of infinite dimensional Lie algebras, which has important applications to the theory of integrable equations. The construction of these algebras is very simila…
nlin.SI2004
Reductions of integrable equations. Dihedral group
S. Lombardo, A. V. Mikhailov
We discuss algebraic and analytic structure of rational Lax operators. With algebraic reductions of Lax equations we associate a reduction group - a group of twisted automorphisms…