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arXiv · 1801.09071

A proof of Comes-Kujawa's conjecture

MengMeng Gao·Hebing Rui·Linliang Song·Yucai Su
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Abstract

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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MengMeng Gao, Hebing Rui, Linliang Song, Yucai Su. 2018-01-27. A proof of Comes-Kujawa's conjecture. https://arxiv.org/abs/1801.09071

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