TY - JOUR
T1 - Reduction Groups and Automorphic Lie Algebras
AU - Lombardo, Sara
AU - Mikhailov, Alexander
PY - 2005/8
Y1 - 2005/8
N2 - 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 similar to the one for automorphic functions and this motivates the name automorphic Lie algebras. For automorphic Lie algebras we present bases in which they are quasigraded and all structure constants can be written out explicitly. These algebras have useful factorisations on two subalgebras similar to the factorisation of the current algebra on the positive and negative parts.
AB - 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 similar to the one for automorphic functions and this motivates the name automorphic Lie algebras. For automorphic Lie algebras we present bases in which they are quasigraded and all structure constants can be written out explicitly. These algebras have useful factorisations on two subalgebras similar to the factorisation of the current algebra on the positive and negative parts.
UR - https://www.scopus.com/pages/publications/20544469156
U2 - 10.1007/s00220-005-1334-5
DO - 10.1007/s00220-005-1334-5
M3 - Article
SN - 0010-3616
VL - 258
SP - 179
EP - 202
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
IS - 1
ER -