Minimal presentations of gln-web categories

Abstract

In this paper we study categories of gln-webs which describe associated representation categories of the quantum group Uq(gln). We give a minimal presentation of the category of gln-webs over a field with generic quantum parameters. We additionally describe an integral presentation which differs from others in the literature because it is "as coefficient-free as possible".

This paper is part of the first authors Ph.D. thesis at the University of Zurich in 2021, 37 pages, many figures, to appear in J. Knot Theory Ramifications, comments welcome