Categorification of the polynomial ring
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- December 2010
- arXiv:
- arXiv:1101.0293
- Bibcode:
- 2011arXiv1101.0293K
- Keywords:
-
- Mathematics - Quantum Algebra;
- 16S99;
- 18G10
- E-Print:
- 29 pages, 26 figures