Z. Zeng

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math.RT2026

Homological rigidity of quiver representations over $F_{1}$

Changjian Fu, Liang Yang, Zhiyuan Zeng

We establish a homological rigidity phenomenon for the category of representations of quivers over the virtual field $F_{1}$ , which is inherently non-additive and does not a…

math.RT2026

On higher extensions of quiver representations over $F_{1}$

Changjian Fu, Liang Yang, Zhiyuan Zeng

We show that higher extension spaces between finite-dimensional nilpotent $F_{1}$ -representations maybe infinite-dimensional, thereby clarifying a misconception in the liter…

Homological rigidity of quiver representations over F1​

On higher extensions of quiver representations over F1​

Homological rigidity of quiver representations over $F_{1}$

On higher extensions of quiver representations over $F_{1}$