On Structure of the Schrödinger Algebra in Prime Characteristic

Let [Formula: see text] be an algebraically closed field of prime characteristic not equal to 2. We determine the automorphism group and restricted automorphism group of the Schrödinger algebra, and obtain a classification of [Formula: see text]-characters of the Schrödinger algebra under the coadjoint action of its restricted automorphism group.

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Publication Details

Journal
Algebra Colloquium
Published
2025-08-28
DOI
https://doi.org/10.1142/s1005386725000288
Primary Topic
Advanced Topics in Algebra
Type
article
Field-Weighted Citation Impact
0.00
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article

On Structure of the Schrödinger Algebra in Prime Characteristic

Shujuan Wang, R. Hou
Algebra Colloquium
Advanced Topics in Algebra
article

On Structure of the Schrödinger Algebra in Prime Characteristic

Shujuan Wang, R. Hou
article en

Abstract

Let [Formula: see text] be an algebraically closed field of prime characteristic not equal to 2. We determine the automorphism group and restricted automorphism group of the Schrödinger algebra, and obtain a classification of [Formula: see text]-characters of the Schrödinger algebra under the coadjoint action of its restricted automorphism group.

Algebra ColloquiumVol. 32(03)
Central China Normal University (CN), Heilongjiang University (CN)
Openalex Percentile: Top 71%
Advanced Topics in Algebra
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On Structure of the Schrödinger Algebra in Prime Characteristic — Shujuan Wang, R. Hou · Algebra Colloquium (2025) | TGRS Research Map | TGRS