Abstract
In this paper, we compute Gram determinants associated to all cell modules of quantized walled Brauer algebras Br,t(ρ,q) over an arbitrary field κ. Suppose e is the quantum characteristic of q2. We classify the blocks of Br,t(ρ,q) when e>max{r,t} and ρ2=q2n, n∈Z. As an application, we give a criterion for a cell module of Br,t(ρ,q) being equal to its simple head over κ.
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