## On contractions of semisimple Lie groups.(English)Zbl 0546.22017

Let (G,K) be a Riemannian symmetric pair of the compact or noncompact type and let $$V\rtimes K$$ be the associated Cartan motion group. This article shows how to obtain the representations of $$V\rtimes K$$ from the representations of G, using the fact that $$V\rtimes K$$ is a contraction of G. The results obtained generalize to an arbitrary matrix coefficient the classical Mehler-Heine formula.

### MSC:

 22E46 Semisimple Lie groups and their representations 57S99 Topological transformation groups
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### References:

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