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math.RT2020★ 1 cited
Tilting modules, dominant dimensions and Brauer-Schur-Weyl duality
Jun Hu, Zhankui Xiao
Let be a standardly stratified algebra over a field and a tilting module over . Let be an indexing set of all simple modules in $A\lmod$. We show that if there…
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.RT2011
On a theorem of Lehrer and Zhang
Jun Hu, Zhankui Xiao
Let be an arbitrary field of characteristic not equal to 2. Let and an dimensional orthogonal space over . There is a right action of the Brauer algebra…