{"title":"Transposed Poisson structures on the extended Schrödinger-Virasoro and the original deformative Schrödinger-Virasoro algebras","authors":"Zarina Shermatova","doi":"arxiv-2408.14160","DOIUrl":null,"url":null,"abstract":"We compute 1/2-derivations on the extended Schr\\\"odinger-Virasoro algebras\nand the original deformative Schr\\\"odinger-Virasoro algebras. The extended\nSchr\\\"odinger-Virasoro algebras have neither nontrivial 1/2-derivations nor\nnontrivial transposed Poisson algebra structures. We demonstrate that the\noriginal deformative Schr\\\"odinger-Virasoro algebras have nontrivial\n1/2-derivations, indicating that they possess nontrivial transposed Poisson\nstructures.","PeriodicalId":501136,"journal":{"name":"arXiv - MATH - Rings and Algebras","volume":"90 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Rings and Algebras","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.14160","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We compute 1/2-derivations on the extended Schr\"odinger-Virasoro algebras
and the original deformative Schr\"odinger-Virasoro algebras. The extended
Schr\"odinger-Virasoro algebras have neither nontrivial 1/2-derivations nor
nontrivial transposed Poisson algebra structures. We demonstrate that the
original deformative Schr\"odinger-Virasoro algebras have nontrivial
1/2-derivations, indicating that they possess nontrivial transposed Poisson
structures.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
