Abstract
We introduce and study a contraction of the principal series representations of $SL(2,\mathbf{R})$ to the unitary irreducible representations of the Heisenberg group. We interpret the contraction results in terms of Weyl correspondences on the coadjoint orbits associated with the representations.
Acknowledgment
I would like to thank the Referee for a careful reading of the manuscript and for some relevant remarks.
Citation
Benjamin Cahen. "A contraction of the principal series representations of $SL(2,\mathbf{R})$." Kodai Math. J. 44 (3) 422 - 436, October 2021. https://doi.org/10.2996/kmj/kmj44302
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