Transposed Poisson structures on Virasoro-type algebras

被引：2
|
作者：
Kaygorodov, Ivan [1 ,2 ,3 ]
Khudoyberdiyev, Abror [4 ]
Shermatova, Zarina [5 ]
机构：
[1] Univ Beira Interior, CMA UBI, Covilha, Portugal
[2] Moscow Ctr Fundamental & Appl Math, Moscow, Russia
[3] St Petersburg Univ, St Petersburg, Russia
[4] Natl Univ Uzbekistan, Acad Sci Uzbekistan, VI Romanovskiy Inst Math, Tashkent, Uzbekistan
[5] Kimyo Int Univ Tashkent, Acad Sci Uzbekistan, VI Romanovskiy Inst Math, Tashkent, Uzbekistan
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2025年 / 207卷
基金：
俄罗斯科学基金会;
关键词：
Lie algebra; Transposed Poisson algebra; 1/2-derivation; WEIGHT MODULES; LIE-ALGEBRAS;
D O I：
10.1016/j.geomphys.2024.105356
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We compute 1/2-derivations on the deformed generalized Heisenberg-Virasoro(1) algebras and on not-finitely graded Heisenberg-Virasoro algebras (W) over cap (G), (W) over tilde (G), and (HW) over tilde (G). We classify all transposed Poisson structures on such algebras. (c) 2024 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页数：12
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