26 citations · 29 across the 11 of their papers we have counts for
12 papers
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…
Two-parameter Quantum group coming from two-parameter deformed Virasoro Algebra of Hom-type
Wen Zhou, Yongsheng Cheng
In this paper, firstly, we use the bosonic oscillators to construct a two-parameter deformed Virasoro algebra, which is a non-multiplicative Hom-Lie algebra. Secondly, a non-trivia…
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…
2-local derivation on the conformal Galilei algebra
Yufang Zhao, Yongsheng Cheng
2-local derivation is a generalized derivation for a Lie algebra, which plays an important role to the study of local properties of the structure of the Lie algebra. In this paper,…
2-local derivations on the twisted Heisenberg-Virasoro algebra
Yufang Zhao, Yongsheng Cheng
2-local derivation is a generalized derivation for a Lie algebra, which plays an important role to the study of local properties of the structure of the Lie algebra. In this paper,…
Local cocycle 3-Hom-Lie Bialgebras and 3-Lie Classical Hom-Yang-Baxter Equation
Mengping Wang, Linli Wu, Yongsheng Cheng
In this paper, we introduce 3-Hom-Lie bialgebras whose compatibility conditions between the multiplication and comultiplication are given by local cocycle conditions. We study a tw…
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…
Quantum group structure of the q-deformed algebra $\WW_q$
Huanxia Fa, Junbo Li, Yongsheng Cheng
In this paper the q-deformed algebra $\WW_q$ is constructed, whose nontrivial quantum group structure is presented.