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Keywords:
deformation of representation; Lie algebra; Chevalley-Eilenberg cohomology; Moyal star product; Weyl correspondence; minimal realization
deformation of representation; Lie algebra; Chevalley-Eilenberg cohomology; Moyal star product; Weyl correspondence; minimal realization
Summary:
In this note, we study formal deformations of derived representations of the principal series representations of ${\rm SL}(2,{\mathbb R})$. In particular, we recover all the representations of the derived principal series by deforming one of them. Similar results are also obtained for ${\rm SL}(2,{\mathbb C})$.
References:
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