Geodesic
Symmetry groups of pfaffians of symmetric matrices
Eurasian mathematical journal, Tome 15 (2024) no. 3, pp. 46-54 
A. S. Dzhumadil'daev. Symmetry groups of pfaffians of symmetric matrices. Eurasian mathematical journal, Tome 15 (2024) no. 3, pp. 46-54. http://geodesic.mathdoc.fr/item/EMJ_2024_15_3_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

We prove that the symmetry group of the pfaffian polynomial of a symmetric matrix is a dihedral group.

[1] N. Bourbaki, Elements of mathematics, Chapter 2, v. 2, Linear and multilinear algebra, Addison-Wesley, 1973

[2] A. Cayley, “Sur les determinants gauches”, J. reine und angew. Math., 38 (1849), 93–96

[3] R. Vein, P. Dale, Determinants and their applications in mathematical physics, Springer-Verlag, New York, 1999