Constructing groups associated to infinite-dimensional Lie algebras. (English) Zbl 0614.22006

Kac, Victor G.

Infinite dimensional groups with applications, Publ., Math. Sci. Res. Inst. 4, 167-216 (1985).

[For the entire collection see Zbl 0577.00010.]
The article is devoted to the construction of groups associated to complex infinite-dimensional Lie algebras. The main results concern the groups associated to Kac-Moody algebras.

Reviewer: I.V.Chekalov

MSC:

22E65	Infinite-dimensional Lie groups and their Lie algebras: general properties
17B67	Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras
17B65	Infinite-dimensional Lie (super)algebras
22E60	Lie algebras of Lie groups

Keywords:

infinite-dimensional Lie groups; complex infinite-dimensional Lie algebras; Kac-Moody algebras