6533b85dfe1ef96bd12bdca6
RESEARCH PRODUCT
Star representations of E(2)
J. C. CortetD. Arnalsubject
AlgebraUnitary representationRepresentation theory of SURepresentation theory of the Lorentz groupCovering groupZonal spherical functionStatistical and Nonlinear PhysicsUniversal enveloping algebra(gK)-moduleGroup algebraMathematical PhysicsMathematicsdescription
We give a complete and explicit realization of the unitary irreducible representations of the universal covering group G of E(2), the Euclidean group in two dimensions, by deformation of the algebra of functions on the dual g* of the Lie algebra of G. We define an adapted Fourier transform for G which gives a natural description of the harmonic analysis of G.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1990-08-01 | Letters in Mathematical Physics |