Categorifications of the polynomial ring

Mikhail Khovanov, and Radmila Sazdanovic. "Categorifications of the polynomial ring." Fundamenta Mathematicae 230.3 (2015): 251-280. <http://eudml.org/doc/282905>.

@article{MikhailKhovanov2015,
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 xⁿ and standard modules to (x-1)ⁿ in the Grothendieck ring.},
author = {Mikhail Khovanov, Radmila Sazdanovic},
journal = {Fundamenta Mathematicae},
keywords = {polynomial rings; categorifications; Grothendieck rings; BGG reciprocity; standard modules},
language = {eng},
number = {3},
pages = {251-280},
title = {Categorifications of the polynomial ring},
url = {http://eudml.org/doc/282905},
volume = {230},
year = {2015},
}

TY - JOUR
AU - Mikhail Khovanov
AU - Radmila Sazdanovic
TI - Categorifications of the polynomial ring
JO - Fundamenta Mathematicae
PY - 2015
VL - 230
IS - 3
SP - 251
EP - 280
AB - 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 xⁿ and standard modules to (x-1)ⁿ in the Grothendieck ring.
LA - eng
KW - polynomial rings; categorifications; Grothendieck rings; BGG reciprocity; standard modules
UR - http://eudml.org/doc/282905
ER -