Quantum diagrammatics for $F_4$
Quantum Algebra
2025-05-14 v4 Category Theory
Representation Theory
Abstract
We introduce a graphical calculus for the representation theory of the quantized enveloping algebra of type . We do this by giving a diagrammatic description of the category of invariant tensors on the 26-dimensional fundamental representation.
Keywords
Cite
@article{arxiv.2204.11976,
title = {Quantum diagrammatics for $F_4$},
author = {Alistair Savage and Bruce W. Westbury},
journal= {arXiv preprint arXiv:2204.11976},
year = {2025}
}
Comments
31 pages; v2: minor corrections; v3: added section on affinization; v4: minor corrections, published version