activity
20162023
most citedBiderivations of finite dimensional complex simple Lie algebras

2 citations · 7 across the 12 of their papers we have counts for

collaborators

12 papers

math.RA2023★ 1 cited

Transposed Poisson structures on Schrodinger algebra in (n+1)-dimensional space-time

Yang Yang, Xiaomin Tang, Abror Khudoyberdiyev

Transposed Poisson structures on the Schrödinger algebra in -dimensional space-time of Schrödinger Lie groups are described. It was proven that the Schrödinger algebra $\mat…

math.RT2022

2-local derivations and biderivations of on all simple modules

Shujuan Wang, Zhaoxin Li, Xiaomin Tang

This paper generalizes the concepts of 2-local derivations and biderivations (without the skewsymmetric condition) of a finite-dimensional Lie algebra from the adjoint module to an…

math.QA2020

Derivations of the Positive Part of the Two-parameter Quantum Group of type

Yongyue Zhong, Xiaomin Tang

In this paper, we compute the derivations of the positive part of the two-parameter quantum group of type by embedding it into a quantum torus. We also show that the Hochschi…

math.RT2020★ 1 cited

Modules of polynomial Rota-Baxter Algebras and matrix equations

Xiaomin Tang

The all Rota-Baxter algebra structures on the polynomial algebra are well known. We study the finite dimensional modules of polynomial Rota-Baxter algebras $(\bfk[x]…

math.RA2020

2-Local derivations on the W-algebra W(2,2)

Xiaomin Tang

The present paper is devoted to study 2-local derivations on W-algebra which is an infinite-dimensional Lie algebras with some out derivations. We prove that all 2-local d…

math.RA2018★ 1 cited

Biderivations and commutative post-Lie algebra structures on the Lie algebra W(a,b)

Xiaomin Tang

For , the Lie algebra is the semidirect product of the Witt algebra and a module of the intermediate series. In this paper, all biderivations…

math.RA2017

Biderivations of the twisted Heisenberg-Virasoro algebra and their applications

Xiaomin Tang, Xiaotong Li

In this paper, the biderivations without the skew-symmetric condition of the twisted Heisenberg-Virasoro algebra are presented. We find some non-inner and non-skew-symmetric bideri…

math.RA2017

Post-Lie algebra structures on the Witt algebra

Xiaomin Tang

In this paper, we characterize the graded post-Lie algebra structures and a class of shifting post-Lie algebra structures on the Witt algebra. We obtain some new Lie algebras and g…

math.RA2016

Biderivations and commutative post-Lie algebra structure on the Schrödinger-Virasoro Lie algebra

Xiaomin Tang

In this paper, we characterize the biderivations of Schrödinger-Virasoro Lie algebra. We get a classes of non-inner and non-skewsymmetric biderivations. As application, we characte…

math.RT2016

Block type Lie algebras and their representations

Xiaomin Tang, Shasha Zhao

Block type Lie algebras have been studied by many authors in the latest twenty years. In this paper, we will study a class of more general Block type Lie algebra …

math.RA2016★ 2 cited

Biderivations of W-algebra and Virasoro algebra without skewsymmetric condition and their applications

Xiaomin Tang

In this paper, we characterize the biderivations of W-algebra and Virasoro algebra without skewsymmetric condition. We get two classes of non-inner biderivations. As…

math.RA2016★ 2 cited

Biderivations of finite dimensional complex simple Lie algebras

Xiaomin Tang

In this paper, we prove that a biderivation of a finite dimensional complex simple Lie algebra without the restriction of skewsymmetric is inner. As an application, the biderivatio…