Poisson Structures of Non-finitely Graded Lie Algebras Related to Generalized Witt Algebras

Algebra Colloquium 2026

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Authors: Runguo Xu, Ying Xu
DOI: 10.1142/s1005386726000143
Cited by: 0

Abstract

Let [Formula: see text] be a class of non-finitely graded Lie algebras related to generalized Witt algebras [Formula: see text]. We give a full description of the Poisson structures on [Formula: see text]. It is shown that there is no non-trivial and associative Poisson algebraic structures on [Formula: see text].

Fields of Study & Subjects

Advanced Topics in Algebra Homotopy and Cohomology in Algebraic Topology Advanced Differential Geometry Research

Publication details

Journal / source
Algebra Colloquium
Volume
33
Issue
01
Pages
141–152
Publication date
27 February 2026
Language
EN