Defining Relations for Lie Algebras of Vector Fields

摘要

The authors calculated defining relations of the graded nilpotent positive partof Lie algebras of vector fields. These calculations suggest that for Wn, Sn and Kn (n sufficiently large) there are only trivial relations, i.e. relations of degree 2. For Hn however, the authors prove that there are non-trivial relations of degree 3, which form a standard module.