Diagrammatics for F4
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 F4. In this way, we obtain a set of diagrammatic tools for studying type F4 representation theory that are analogous to those of the oriented and unoriented Brauer categories in classical type.
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