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math.RA2026
Vector Determinant in the ARE Framework: From Scalar to Vector-Valued
Ramon Moya
The ARE (Action, Rectification, and Structure) method is presented as a framework for reorganizing the Leibniz expansion of the determinant through the action of the cyclic group C…
math.RA2026
ARE Method: Orbital Decompositions and Dihedral Cancellations for Determinants
Ramon Moya
We develop the ARE method (Action-Rectification-Expansion), a structural framework for the organization of Leibniz terms in determinants through cyclic group actions and orbital de…