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Symmetry groups of pfaffians of symmetric matrices

Published 27 Jan 2022 in math.CO | (2201.11570v1)

Abstract: We prove that symmetry group of the pfaffian polynomial of a symmetric matrix is a dihedral group. We calculate pfaffians of symmetric matrices with components $(x_i-x_j)2$ and $\cos(x_i-x_j)$ for $i<j.$

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