Dirac series for complex classical Lie groups: A multiplicity-one theorem
| Autor: | Dan Barbasch, Chao-Ping Dong, Kayue Daniel Wong |
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| Jazyk: | angličtina |
| Rok vydání: | 2020 |
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| Popis: | This paper computes the Dirac cohomology $H_D(\pi)$ of irreducible unitary Harish-Chandra modules $\pi$ of complex classical groups viewed as real reductive groups. More precisely, unitary representations with nonzero Dirac cohomology are shown to be unitarily induced from unipotent representations. When nonzero, there is a unique, multiplicity free $K-$type in $\pi$ contributing to $H_D(\pi)$. This confirms conjectures formulated by the first named author and Pandzic in 2011. Comment: 42 pages, to appear in Adv. Math |
| Databáze: | OpenAIRE |
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