2 papers
math-ph2026
From Lie--Rinehart Algebras to -Manifold Algebras
Yufeng Pei, Yunhe Sheng
For every Lie--Rinehart algebra, we construct an -manifold algebra on the direct sum of its base algebra and module. Contrary to the assertion in \cite[Proposition 13.3.26]{Loda…
math.RT2024
Singular vectors, characters, and composition series for the N=1 BMS superalgebra
Wei Jiang, Dong Liu, Yufeng Pei +1
This paper investigates the structure of Verma modules over the N=1 BMS superalgebra. We provide a detailed classification of singular vectors, establish necessary and sufficient c…