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arXiv · 1101.0293

Categorification of the polynomial ring

Mikhail Khovanov·Radmila Sazdanovic
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Abstract

We develop a diagrammatic categorification of the polynomial ring $Z[x]$. Our categorification satisfies a version of Bernstein-Gelfand-Gelfand reciprocity property with the indecomposable projective modules corresponding to $x^n$ and standard modules to $(x-1)^n$ in the Grothendieck ring.

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Mikhail Khovanov, Radmila Sazdanovic. 2010-12-31. Categorification of the polynomial ring. https://arxiv.org/abs/1101.0293

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