Vanishing of certain equivariant distributions on spherical spaces for quasi-split groups

Vanishing of certain equivariant distributions on spherical spaces for quasi-split groups

We prove the vanishing of z-eigen distributions on a quasi-split real reductive group which change according to a non-degenerate character under the left action of the unipotent radical of the Borel subgroup, and are equivariant under the right action of a spherical subgroup.

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Veröffentlicht in:Journal of pure and applied algebra 2022-03, Vol.226 (3), p.106870, Article 106870
1. Verfasser: Lu, Hengfei
Format: Artikel
Sprache:eng
Schlagworte:
Quasi-spit groups
Spherical varieties
Vanishing of distributions
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Zusammenfassung:We prove the vanishing of z-eigen distributions on a quasi-split real reductive group which change according to a non-degenerate character under the left action of the unipotent radical of the Borel subgroup, and are equivariant under the right action of a spherical subgroup.
ISSN:0022-4049
1873-1376
DOI:10.1016/j.jpaa.2021.106870