A proof of Comes-Kujawa's conjecture

الأصل · EN

Let κ be a commutative ring containing 2⁻¹. In this paper, we prove the Comes-Kujawa's conjecture on a κ-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 κ is an algebraically closed field with characteristic not two.