New examples of continuum graded Lie algebras

@inproceedings{Saveliev1990NewEO,
  title={New examples of continuum graded Lie algebras},
  author={Mikhail Vladimirovich Saveliev and Anatolii Moiseevich Vershik},
  year={1990}
}
Abstract We give several new examples of continuum graded Lie algebras which provide an additional elucidation of these algebras. Here, in particular, the Kac-Moody algebras, the algebra S 0 Diff T 2 of infinitesimal area-preserving diffeomorphisms of the torus T 2 , the Fairlie-Fletcher-Zachos sine-algebras, etc., are described as special cases of the cross product Lie algebras.