Unitary representations attached to parabolic subgroups: the case of abelian unipotent radical

Dan Ciubotaru

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arXiv · 2510.11862

Unitary representations attached to parabolic subgroups: the case of abelian unipotent radical

Dan Ciubotaru

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Abstract

We classify the unitary representations with integral infinitesimal character in Lusztig's category of unipotent representations in the case when the geometric parameter space comes from the action of a Levi subgroup on the abelian nilradical of a (maximal) parabolic subalgebra. We organise the unitary representations into microlocal Arthur packets. This is a test case for investigating a conjectural description of unitary representations with integral infinitesimal character.

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BibTeX RIS

Dan Ciubotaru. 2025-10-13. Unitary representations attached to parabolic subgroups: the case of abelian unipotent radical. https://arxiv.org/abs/2510.11862

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