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math.CT2024
Frobenius algebra objects in Temperley-Lieb categories at roots of unity
Joseph Grant, Mathew Pugh
We give a new definition of a Frobenius structure on an algebra object in a monoidal category, generalising Frobenius algebras in the category of vector spaces. Our definition allo…
math.RT2024
Mutation of signed valued quivers and presentations of simple complex Lie algebras
Joseph Grant, Davide Morigi
We introduce a signed variant of (valued) quivers and a mutation rule that generalizes the classical Fomin-Zelevinsky mutation of quivers. To any signed valued quiver we associate…