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NilCoxeter algebras categorify the Weyl algebra

Mikhail Khovanov
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Abstract

We show that induction and restriction functors for inclusions of nilCoxeter algebras provide a categorical realization of the algebra of polynomial differential operators in one variable.

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Mikhail Khovanov. 1999-06-24. NilCoxeter algebras categorify the Weyl algebra. https://arxiv.org/abs/math/9906166

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