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arXiv · 2303.10591

On the General Ranks of QP Representations

Jiarui Fei
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Abstract

We propose a mutation formula for the general rank from a principal component ${\rm PC}(\delta)$ of representations to another one ${\rm PC}(\epsilon)$ for a quiver with potential. We give sufficient conditions for the formula to hold. In particular, the formula holds when any of $\delta$ and $\epsilon$ is reachable. We discover several related mutation invariants.

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Jiarui Fei. 2023-03-19. On the General Ranks of QP Representations. https://arxiv.org/abs/2303.10591

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