Construction of Miniversal Deformations of Lie Algebras

Details Construction of Miniversal Deformations of Lie Algebras Construction of Miniversal Deformations of Lie Algebras

2000-06-16

arxiv.org/abs/math/0006117v1

J. Funct. Anal., 161 (1999) 76-110

Mathematics

Representation Theory

29 pages, (plain) TeX

Scientific paper

We consider deformations of finite or infinite dimensional Lie algebras over a field of characteristic 0. There is substantial confusion in the literature if one tries to describe all the non-equivalent deformations of a given Lie algebra. It is known that there is in general no "universal" deformation of the Lie algebra L with a commutative algebra base A with the property that for any other deformation of L with base B there exists a unique homomorphism f: A -> B that induces an equivalent deformation. Thus one is led to seek a "miniversal" deformation. For a miniversal deformation such a homomorphism exists, but is unique only at the first level. If we consider deformations with base spec A, where A is a local algebra, then under some minor restrictions there exists a miniversal element. In this paper we give a construction of a miniversal deformation.

Affiliated with

Also associated with

No associations

Rating

Construction of Miniversal Deformations of Lie Algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Construction of Miniversal Deformations of Lie Algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Construction of Miniversal Deformations of Lie Algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-656003