6533b860fe1ef96bd12c397f

RESEARCH PRODUCT

Formal Group Laws for Affine Kac-Moody groups and group quantization

José Navarro-salasVictor Aldaya

subject

Group (mathematics)Formal groupStatistical and Nonlinear Physics17B6758D05Group representationAlgebra81D07Affine representationSymmetric groupUnitary groupLawAffine group22E65Mathematical PhysicsMathematicsSchur multiplier

description

We describe a method for obtaining Formal Group Laws from the structure constants of Affine Kac-Moody groups and then apply a group manifold quantization procedure which permits construction of physical representations by using only canonical structures on the group. As an intermediate step we get an explicit expression for two-cocycles on Loop Groups. The programme is applied to the AffineSU(2) group.

yearjournalcountryeditionlanguage
1987-09-01Communications in Mathematical Physics
https://doi.org/10.1007/bf01221252