ISSN:
1573-0530
Keywords:
formal deformations
;
analytic deformations
;
Witt algebra
;
Lie algebra
;
completion.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract For infinite dimensional Lie algebras G, the theory of formal deformations does not generally give decisive results about analytic deformations. In particular, if Gt is a family of Lie algebras depending holomorphically on t with G 0=G, and if (Gt) is formally equivalent to G[[t]], it does not necessarily follow that Gt is isomorphic toG for small ∣t∣. However, one may ask if Ĝt is isomorphic to Ĝ for small ∣t∣,Ĝ t and Ĝ being suitable completions of Gt and G respectively. In this Letter, this question is discussed when G=W, the Witt algebra.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1007521413901
Permalink