26 citations · 29 across the 11 of their papers we have counts for
7 papers · 1 filter
The Aubert and Bernstein involutions for disconnected groups
Yongshen Cheng, Tasho Kaletha
We extend to arbitrary disconnected reductive -adic groups the duality on the category of smooth finite-length complex representations defined by Aubert, as well as its cohomolo…
Irreducible representations of the twisted Heisenberg-Virasoro algebra of Hom type
Qiuli Fan, Yongsheng Cheng
Hom-Lie algebras are non-associative algebras generalizing Lie algebras by twisting the Jacobi identity by a linear map. In this paper, we mainly study the irreducible representati…
Intermediate series module of the Two Parameters Deformed Virasoro Algebra of Hom-type
Wen Zhou, Yongsheng Cheng
In this paper, we construct a class of Harish-Chandra modules of the two parameters deformed Virasoro algebra and classify indecomposanle Harish-Chandra module of an intermediate s…
Simple weight modules over the quantum Schrödinger algebra
Yan-an Cai, Yongsheng Cheng, Genqiang Liu
In the present paper, using the technique of localization, we determine the center of the quantum Schrödinger algebra and classify simple modules with finite-dimensional weig…
Representations of Bihom-Lie algebras
Yongsheng Cheng, Huange Qi
Bihom-Lie algebra is a generalized Hom-Lie algebra endowed with two commuting multiplicative linear maps. In this paper, we study cohomology and representations of Bihom-Lie algebr…
Quasi-Whittaker modules for the Schrödinger algebra
Yan-an Cai, Yongsheng Cheng, Ran Shen
In this paper, we construct a new class of modules for the Schrödinger algebra $\mS$, called quasi-Whittaker module. Different from \cite{[ZC]}, the quasi-Whittaker module is not i…
Whittaker Modules for the Schrödinger Algebra
Xiufu Zhang, Yongsheng Cheng
In this paper, the property and the classification the simple Whittaker modules for the schrödinger algebra are studied. A quasi-central element plays an important role in the stud…