From the 2 of 4 linked papers with an AI index.
4 papers
Classification of Simple Cuspidal Modules over Nongraded Witt Lie Algebras
Genqiang Liu, Xiaoyao Zheng, Yufang Zhao
The paper characterizes when tensor modules built from a simple Weyl‑type algebra module and a simple gl_n‑module are simple, and proves that every simple cuspidal module over the…
Irreducible cuspidal -modules from finite-dimensional modules over the minimal nilpotent finite -algebra
Genqiang Liu, Mingjie Li
The paper shows that every finite‑dimensional irreducible module over the minimal nilpotent finite W‑algebra for \(\mathfrak{sl}_{n+1}\) can be realized as a quotient of a finite‑d…
The category of Whittaker modules over the Cartan Type Lie algebra
Xiaoyao Zheng, Yufang Zhao, Genqiang Liu
The Lie algebra of polynomial vector fields on with constant divergence is an important Cartan type Lie algebra. In this paper, we study Whittaker $\bar{…
Minimal nilpotent finite -algebra and cuspidal module category of
Genqiang Liu, Mingjie Li
Let be the localization of with respect to the Ore subset generated by the root vectors . We show th…