3 papers
math.RA2026
Finite dimensional zero Jordan product determined algebras are generated by idempotents
Hongyu Jia, Zhankui Xiao
BreÅ¡ar 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 produc…
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 on such an algebra is of the form $θ(x)=…
math.QA2026
Dual partially harmonic tensors and quantized Schur--Weyl duality
Pei Wang, Zhankui Xiao
Let be a -dimensional symplectic space over an infinite field . Let be the two-sided ideal of the Birman--Murakami--Wenzl algebra $\mathfrak{B…