Dirac series for complex classical Lie groups: A multiplicity-one theorem
نویسندگان
چکیده
This paper computes the Dirac cohomology HD(π) of irreducible unitary Harish-Chandra modules π complex classical groups viewed as real reductive groups. More precisely, representations with nonzero are shown to be unitarily induced from unipotent representations. When nonzero, there is a unique, multiplicity free K-type in contributing HD(π). confirms conjectures formulated by first named author and Pandžić 2011.
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2022
ISSN: ['1857-8365', '1857-8438']
DOI: https://doi.org/10.1016/j.aim.2022.108370