Presentations for categories of crystals

Fuente: arXiv
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Main Authors: He, David, Tubbenhauer, Daniel
Format: Preprint
Published: 2026
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author He, David
Tubbenhauer, Daniel
author_facet He, David
Tubbenhauer, Daniel
contents We give generators and relations for the monoidal categories of crystals generated by the fundamental crystals of a simple complex Lie algebra. We also spell out several small-rank examples.
format Preprint
id arxiv_https___arxiv_org_abs_2606_02249
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Presentations for categories of crystals
He, David
Tubbenhauer, Daniel
Representation Theory
Combinatorics
Quantum Algebra
17B10, 17B37 (Primary), 05E10, 18M05 (Secondary)
We give generators and relations for the monoidal categories of crystals generated by the fundamental crystals of a simple complex Lie algebra. We also spell out several small-rank examples.
title Presentations for categories of crystals
topic Representation Theory
Combinatorics
Quantum Algebra
17B10, 17B37 (Primary), 05E10, 18M05 (Secondary)
url https://arxiv.org/abs/2606.02249