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arxiv: 1801.09071 · v1 · pith:7YXTN3RRnew · submitted 2018-01-27 · 🧮 math.QA

A proof of Comes-Kujawa's conjecture

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keywords kappabrauer-cliffordcomes-kujawaconjecturecyclotomicprovealgebraicallybasis
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Let $\kappa$ be a commutative ring containing $2^{-1}$. In this paper, we prove the Comes-Kujawa's conjecture on a $\kappa$-basis of cyclotomic oriented Brauer-Clifford supercategory. As a by-product, we prove that the cyclotomic walled Brauer-Clifford superalgebra defined by Comes and Kujawa and ours are isomorphic if $\kappa$ is an algebraically closed field with characteristic not two.

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