Categorification of the polynomial ring

Details Categorification of the polynomial ring Categorification of the polynomial ring

2010-12-31

arxiv.org/abs/1101.0293v1

Mathematics

Quantum Algebra

29 pages, 26 figures

Scientific paper

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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