Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
31 (1990), S. 1042-1046
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
The algebra of the group of smooth maps from a manifold M to a compact simple Lie group G is studied for two cases. The first is when M is the double coset SO (d,R)/SO(d+1,R)/SO (d,R), the corresponding maps are those from a d sphere to G that are invariant under left translations by elements from SO (d, R). In the second example, M is a two-dimensional torus. The problem of central extension of these algebras is solved. For the first example, no central extension is possible. For the second, the number of independent central extensions is infinite.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.528780
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