Minimal presentations of gln-web categories

Fuente: arXiv
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Main Authors: Latifi, Genta, Tubbenhauer, Daniel
Format: Preprint
Published: 2021
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_version_ 1866913025429078016
author Latifi, Genta
Tubbenhauer, Daniel
author_facet Latifi, Genta
Tubbenhauer, Daniel
contents 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".
format Preprint
id arxiv_https___arxiv_org_abs_2112_12688
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Minimal presentations of gln-web categories
Latifi, Genta
Tubbenhauer, Daniel
Quantum Algebra
Representation Theory
Primary: 18M15, 20G42, secondary: 17B37, 57K14
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".
title Minimal presentations of gln-web categories
topic Quantum Algebra
Representation Theory
Primary: 18M15, 20G42, secondary: 17B37, 57K14
url https://arxiv.org/abs/2112.12688