Scattered Representations of Complex Classical Lie Groups
نویسندگان
چکیده
Abstract As a continuation of [9], this paper studies scattered representations $SO(2n+1, {{\mathbb{C}}})$, $Sp(2n, and $SO(2n, {{\mathbb{C}}})$. We describe the Zhelobenko parameters these representations, count their cardinality, determine spin-lowest $K$-types. also disprove conjecture raised in 2015 asserting that unitary dual can be obtained via parabolic induction from irreducible with nonzero Dirac cohomology.
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2021
ISSN: ['1687-0247', '1073-7928']
DOI: https://doi.org/10.1093/imrn/rnaa388