Simple transitive 2-representations for two non-fiat 2-categories of projective functors

Volodymyr Mazorchuk; Xiaoting Zhang

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arXiv · 1601.00097

Simple transitive 2-representations for two non-fiat 2-categories of projective functors

Volodymyr Mazorchuk·Xiaoting Zhang

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Abstract

We show that any simple transitive $2$-representation of the $2$-ca\-te\-go\-ry of projective endofunctors for the quiver algebra of $\Bbbk(\xymatrix{\bullet\ar[r]&\bullet})$ and for the quiver algebra of $\Bbbk(\xymatrix{\bullet\ar[r]\ar@/^/@{.}[rr]&\bullet\ar[r]&\bullet})$ is equivalent to a cell $2$-representation.

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Volodymyr Mazorchuk, Xiaoting Zhang. 2016-01-01. Simple transitive 2-representations for two non-fiat 2-categories of projective functors. https://arxiv.org/abs/1601.00097

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