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

Hengfei Lu

doi:10.1016/j.jpaa.2021.106870

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

Hengfei Lu

University of Vienna

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	106870
Journal	Journal of Pure and Applied Algebra
Volume	226
Issue number	3
DOIs	https://doi.org/10.1016/j.jpaa.2021.106870
State	Published - Mar 2022
Externally published	Yes

Keywords

Quasi-spit groups
Spherical varieties
Vanishing of distributions

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10.1016/j.jpaa.2021.106870

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title = "Vanishing of certain equivariant distributions on spherical spaces for quasi-split groups",

abstract = "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.",

keywords = "Quasi-spit groups, Spherical varieties, Vanishing of distributions",

author = "Hengfei Lu",

note = "Publisher Copyright: {\textcopyright} 2021 Elsevier B.V.",

year = "2022",

month = mar,

doi = "10.1016/j.jpaa.2021.106870",

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AU - Lu, Hengfei

PY - 2022/3

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N2 - 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.

AB - 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.

KW - Quasi-spit groups

KW - Spherical varieties

KW - Vanishing of distributions

UR - https://www.scopus.com/pages/publications/85111511742

U2 - 10.1016/j.jpaa.2021.106870

DO - 10.1016/j.jpaa.2021.106870

M3 - 文章

AN - SCOPUS:85111511742

SN - 0022-4049

VL - 226

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 3

M1 - 106870

ER -

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

Abstract

Keywords

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