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- W3138912571 abstract "For a connected semisimple Lie group $G$ we describe an explicit collection of correspondences between the admissible dual of $G$ and the admissible dual of the Cartan motion group associated with $G$. We conjecture that each of these correspondences induces an algebraic isomorphism between the admissible duals. The constructed correspondences are defined in terms of algebraic families of Harish-Chandra modules. We prove that the conjecture holds in the case of $SL_2(mathbb{R})$, and in that case we give an equivalent characterization for the bijections." @default.
- W3138912571 created "2021-03-29" @default.
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- W3138912571 date "2017-06-18" @default.
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- W3138912571 title "The algebraic Mackey-Higson bijections" @default.
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