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math.AC2026
Lower bounds on the strength of the determinant
Qiyuan Chen, Yuhao Zhao
We establish new lower bounds for the strength and partition rank of the determinant. For every prime , we prove the exact identity \[ \operatorname{str}(\mathrm{det}_p)=p. \] A…
math.AC2026
A base change framework for tensor functions
Qiyuan Chen
The main contribution of this note is to establish a framework to extend results of tensor functions over specific field to general field. As a consequence of this framework, we ex…