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arXiv · 1501.03052

Duflo involutions for 2-categories associated to tree quivers

Xiaoting Zhang
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Abstract

Motivated by the definition of Duflo involution for fiat $2$-categories, we define certain analogues of Duflo involution for arbitrary finitary $2$-categories and show that such Duflo involutions exist for two classes of finitary $2$-categories associated with tree path algebras. Additionally, we describe the quiver for the algebra underlying the principal $2$-representation for these two classes of finitary $2$-categories.

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Xiaoting Zhang. 2015-01-13. Duflo involutions for 2-categories associated to tree quivers. https://arxiv.org/abs/1501.03052

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