English

A proof of Comes-Kujawa's conjecture

Quantum Algebra 2018-01-30 v1

Abstract

Let κ\kappa be a commutative ring containing 212^{-1}. In this paper, we prove the Comes-Kujawa's conjecture on a κ\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 κ\kappa is an algebraically closed field with characteristic not two.

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Cite

@article{arxiv.1801.09071,
  title  = {A proof of Comes-Kujawa's conjecture},
  author = {MengMeng Gao and Hebing Rui and Linliang Song and Yucai Su},
  journal= {arXiv preprint arXiv:1801.09071},
  year   = {2018}
}

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17 pages