In this paper we explore the geometry of persymmetric matrices. These matrices are defined in a similar way to orthogonal matrices except the (flip) transpose is taken over the skew diagonal. We give a proof that persymmetric matrices form a Lie group.
"Lie Matrix Groups: The Flip Transpose Group,"
Rose-Hulman Undergraduate Mathematics Journal: Vol. 16:
1, Article 6.
Available at: https://scholar.rose-hulman.edu/rhumj/vol16/iss1/6