A proof of Comes-Kujawas conjecture


Abstract in English

Let $kappa$ be a commutative ring containing $2^{-1}$. In this paper, we prove the Comes-Kujawas 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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