English

Categorification of the polynomial ring

Quantum Algebra 2011-01-04 v1

Abstract

We develop a diagrammatic categorification of the polynomial ring Z[x]Z[x]. Our categorification satisfies a version of Bernstein-Gelfand-Gelfand reciprocity property with the indecomposable projective modules corresponding to xnx^n and standard modules to (x1)n(x-1)^n in the Grothendieck ring.

Keywords

Cite

@article{arxiv.1101.0293,
  title  = {Categorification of the polynomial ring},
  author = {Mikhail Khovanov and Radmila Sazdanovic},
  journal= {arXiv preprint arXiv:1101.0293},
  year   = {2011}
}

Comments

29 pages, 26 figures

R2 v1 2026-06-21T17:06:17.160Z