当前位置: X-MOL 学术Bull. Lond. Math. Soc. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
On a conjecture about solvability of symmetric Poisson algebras
Bulletin of the London Mathematical Society ( IF 0.8 ) Pub Date : 2021-02-26 , DOI: 10.1112/blms.12479
Salvatore Siciliano 1 , Hamid Usefi 2
Affiliation  

For a Lie algebra L, let S ( L ) denote the symmetric Poisson algebra and s ( L ) the truncated symmetric Poisson algebra of L. In characteristic p 2 , the conditions under which these Poisson algebras are solvable were established by Monteiro Alves and Petrogradsky in (J. Algebra 488 (2017) 244–281). The characterization in the harder case p = 2 was left as an open problem and a related conjecture formulated. In this paper, we prove a corrected version of that conjecture, which thereby completes the classification.

中文翻译:

关于对称泊松代数可解性的一个猜想

对于李代数 , 让 ( ) 表示对称泊松代数和 ( ) 截断的对称泊松代数 . 在特点 2 ,这些泊松代数可解的条件由 Monteiro Alves 和 Petrogradsky 在 ( J. Algebra 488 (2017) 244–281) 中建立。较难情况下的表征 = 2 被留下作为一个悬而未决的问题,并制定了相关的猜想。在本文中,我们证明了该猜想的更正版本,从而完成了分类。
更新日期:2021-02-26
down
wechat
bug