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arXiv · 2107.12464

Diagrammatics for $F_4$

Raj Gandhi·Alistair Savage·Kirill Zainoulline
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Abstract

We define a diagrammatic monoidal category, together with a full and essentially surjective monoidal functor from this category to the category of modules over the exceptional Lie algebra of type $F_4$. In this way, we obtain a set of diagrammatic tools for studying type $F_4$ representation theory that are analogous to those of the oriented and unoriented Brauer categories in classical type.

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BibTeXRIS

Raj Gandhi, Alistair Savage, Kirill Zainoulline. 2021-07-26. Diagrammatics for $F_4$. https://doi.org/10.1112/blms.12733

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