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• W4285147533 abstract "Abstract The unitary dual of $GL(n, {mathbb {R}})$ was classified by Vogan in the 1980s. In particular, the Speh representations and the special unipotent representations are the building blocks of the unitary dual with half-integral infinitesimal characters. In this paper, we classify all irreducible unitary $({mathfrak {g}}, K)$-modules with non-zero Dirac cohomology for $GL(n, {mathbb {R}})$, as well as a formula for (one of) their spin-lowest $K$-types. Moreover, analogous to the $GL(n,{mathbb {C}})$ case given in [12], we count the number of the FS-scattered representations of $GL(n, {mathbb {R}})$." @default.
• W4285147533 created "2022-07-14" @default.
• W4285147533 creator A5049207611 @default.
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• W4285147533 date "2022-06-02" @default.
• W4285147533 modified "2023-10-16" @default.
• W4285147533 title "Dirac Series of <i>GL</i>(<i>n</i>, ℝ)" @default.
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• W4285147533 doi "https://doi.org/10.1093/imrn/rnac150" @default.
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