Central Extensions and Physics
198752 pages
Published in:
- J.Geom.Phys. 4 (1987) 207-258
View in:
Citations per year
Abstract: (Elsevier)
In this paper two themes are considered; first of all we consider the question under what circumstances a central extension of the Lie algebra of a given Lie group determines a central extension of this Lie group (and how many different ones). The answer will be that if we give the algebra extension in the form of a left invariant closed 2-form ω on the Lie group, then there exists an associated group extension iff the group of periods of ω is a discrete subgroup of IR and ω admits a momentum mapping for the left action of the group on itself.- Central extensions
- prequantization
- 22E99
- 58F06
- 22E41
- 57T10
- ALGEBRA: LIE
- ALGEBRA: CENTRAL CHARGE
- GROUP THEORY
- MATHEMATICAL METHODS: DIFFERENTIAL GEOMETRY
References(35)
Figures(0)
- [Barg,1]
- [Barg,2]
- [Barr]
- [Bau]
- [Br]
- [Ca]
- [Ch]
- [Di]
- [Do]
- [Du]
- [Go]
- [Gu]
- [Hi]
- [Hi]
- [Ho]
- [Ho]
- [Ko]
- [La]
- [Pij]
- [Sh]
- [Si,1]
- [Si,2]
- [Si]
- [Sn]
- [So,1]