Categorifications of the polynomial ring
Volume 230 / 2015
Fundamenta Mathematicae 230 (2015), 251-280
MSC: Primary 16S99; Secondary 18G10.
DOI: 10.4064/fm230-3-3
Abstract
We develop a diagrammatic categorification of the polynomial ring ${\mathbb {Z}}[x]$. 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.
