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.

30 pages