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Odd Khovanov's arc algebra

2016/04/18 by Naisse, Grégoire, Vaz, Pedro
#FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1604.05246

Abstract

We construct an odd version of Khovanov's arc algebra Hn. Extending the center to elements that anticommute, we get a subalgebra that is isomorphic to the oddification of the cohomology of the (n,n)-Springer varieties. We also prove that the odd arc algebra can be twisted into an associative algebra.

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