PreprintarXiv licencearXiv
Even and odd minimal categorifications of the nilpotent part of classical and quantum sl(2)
Abstract
We write down generators and relations for a minimalist version of the nilHecke category which allows us to categorify the divided powers of a generating functor. We then classify these minimalist counterparts of the nilHecke category, subject to suitable assumptions. A minimalist version of the odd nilHecke category is introduced as well.
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BibTeX
@misc{khovanov2026even,
title = {{Even and odd minimal categorifications of the nilpotent part of classical and quantum sl(2)}},
author = {Mikhail Khovanov and Alvaro L. Martinez and Fan Zhou},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.04567},
eprint = {2609.04567},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.04567},
}
RIS
TY - UNPB
TI - Even and odd minimal categorifications of the nilpotent part of classical and quantum sl(2)
AU - Mikhail Khovanov
AU - Alvaro L. Martinez
AU - Fan Zhou
PY - 2026
DA - 2026/09/03
PB - arXiv
DO - 10.48550/arxiv.2609.04567
UR - https://arxiv.org/abs/2609.04567
AB - We write down generators and relations for a minimalist version of the nilHecke category which allows us to categorify the divided powers of a generating functor. We then classify these minimalist counterparts of the nilHecke category, subject to suitable assumptions. A minimalist version of the odd nilHecke category is introduced as well.
ER -