Defining relations for Lie algebras of vector fields

N.W. van den Hijligenberg; G.F. Post

doi:10.1016/0019-3577(91)90007-T

Defining relations for Lie algebras of vector fields

N.W. van den Hijligenberg, G.F. Post

Discrete Mathematics and Mathematical Programming

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Abstract

We calculated defining relations of the graded nilpotent positive part of Lie algebras of vector fields. These calculations suggest that for Wn,ln and Kn (n sufficiently large) there are only tri relations, i.e. relations of degree 2. ForHn however, we prove that there are non-trivial relations of degree 3, which form a standard module.

Original language	English
Pages (from-to)	207-218
Number of pages	12
Journal	Indagationes mathematicae
Volume	0
Issue number	2
DOIs	https://doi.org/10.1016/0019-3577(91)90007-T
Publication status	Published - 1991

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title = "Defining relations for Lie algebras of vector fields",

abstract = "We calculated defining relations of the graded nilpotent positive part of Lie algebras of vector fields. These calculations suggest that for Wn,ln and Kn (n sufficiently large) there are only tri relations, i.e. relations of degree 2. ForHn however, we prove that there are non-trivial relations of degree 3, which form a standard module.",

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AB - We calculated defining relations of the graded nilpotent positive part of Lie algebras of vector fields. These calculations suggest that for Wn,ln and Kn (n sufficiently large) there are only tri relations, i.e. relations of degree 2. ForHn however, we prove that there are non-trivial relations of degree 3, which form a standard module.

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DO - 10.1016/0019-3577(91)90007-T

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JO - Indagationes mathematicae

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Defining relations for Lie algebras of vector fields

Abstract

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