Zhankui Xiao

activity

20112026

most citedCentralizing Traces and Lie Triple Isomorphisms on Triangular Algebras

2 citations · 6 across the 14 of their papers we have counts for

collaborators

15 papers

math.RA2026

Finite dimensional zero Jordan product determined algebras are generated by idempotents

Hongyu Jia, Zhankui Xiao

Brešar showed that a finite dimensional unital associative algebra is zero product determined if and only if it is generated by idempotents. For the analogue of zero Jordan product…

math.RA2026

Commuting maps of inflated algebras

Hongyu Jia, Zhankui Xiao

Commuting maps on a class of algebras called inflated algebras are investigated. In particular, we can prove that every commuting map $θ$ on such an algebra is of the form $θ(x)=c…

math.QA2026

Dual partially harmonic tensors and quantized Schur--Weyl duality

Pei Wang, Zhankui Xiao

Let $V$ be a $2 m$ -dimensional symplectic space over an infinite field $K$ . Let $B_{n, K}^{(f)}$ be the two-sided ideal of the Birman--Murakami--Wenzl algebra $\mathfrak{B…

math.RT2020★ 1 cited

Tilting modules, dominant dimensions and Brauer-Schur-Weyl duality

Jun Hu, Zhankui Xiao

Let $A$ be a standardly stratified algebra over a field $K$ and $T$ a tilting module over $A$ . Let $Λ^{+}$ be an indexing set of all simple modules in $A\lmod$. We show that if there…

math.RA2019

Commuting maps on certain incidence algebras

Hongyu Jia, Zhankui Xiao

Let $R$ be a $2$ -torsion free commutative ring with unity, $X$ a locally finite pre-ordered set and $I (X, R)$ the incidence algebra of $X$ over $R$ . If…

math.RA2019

Lie Triple Derivations of Incidence Algebras

Danni Wang, Zhankui Xiao

Let $R$ be a $2$ -torsion free commutative ring with unity, $X$ a locally finite pre-ordered set and $I (X, R)$ the incidence algebra of $X$ over $R$ . If…

math.RA2017

Zero action determined modules for associative algebras

Wei Hu, Zhankui Xiao

Let $A$ be a unital associative algebra over a field $F$ and $V$ be a unital left $A$ -module. The module $V$ is called zero action determined if every bilinear map $f: A\times V\ri…

math.RT2015

The diagram category of framed tangles and invariants of quantized symplectic group

Zhankui Xiao, Yuping Yang, Yinhuo Zhang

In this paper we present a categorical version of the first and second fundamental theorems of the invariant theory for the quantized symplectic groups. Our methods depend on the t…

math.RA2014

Jordan Derivations of Incidence Algebras

Zhankui Xiao

Let $R$ be a commutative ring with identity, $I (X, R)$ be the incidence algebra of a locally finite pre-ordered set $X$ . In this note, we characterise the deriva…

math.RA2014★ 1 cited

Centralizing traces and Lie triple isomorphisms on generalized matrix algebras

Ajda Fosner, Xinfeng Liang, Feng Wei +1

Let $G$ be a generalized matrix algebra over a commutative ring $R$ and $Z (G)$ be the center of $G$ . Suppose that ${\mathfrak q}\colon \math…

math.RA2013★ 2 cited

Centralizing Traces and Lie Triple Isomorphisms on Triangular Algebras

Xinfeng Liang, Zhankui Xiao, Feng Wei

Let $T$ be a triangular algebra over a commutative ring $R$ and $Z (T)$ be the center of $T$ . Suppose that ${\mathfrak q}\colon \mathcal{T}\t…

math.RA2012

Commuting Traces and Lie Isomorphisms on Generalized Matrix Algebras

Zhankui Xiao, Feng Wei

Let $G$ be a generalized matrix algebra over a commutative ring $R$ , $q : G \times G ⟶ G$ be an $\mathc…

math.RA2012★ 1 cited

Nonlinear Jordan Derivations of Triangular Algebras

Zhankui xiao

In this paper we prove that any nonlinear Jordan derivation on triangular algebras is an additive derivation. As a byproduct, we obtain that any nonlinear Jordan derivation on nest…

math.RA2012★ 1 cited

Nonlinear Lie type Derivations of Von Neumann Algebras

Zhankui Xiao, Zengqiang Lin, Feng Wei

Let $A$ be a von Neumann algebra with no central summands of type $I_{1}$ . We will show that every nonlinear Lie $n$ -derivation on $A$ is of the standard form, i.e. it can be express…

math.RT2011

On a theorem of Lehrer and Zhang

Jun Hu, Zhankui Xiao

Let $K$ be an arbitrary field of characteristic not equal to 2. Let $m, n \in N$ and $V$ an $m$ dimensional orthogonal space over $K$ . There is a right action of the Brauer algebra…