Lie Matrix Groups: The Flip Transpose Group

Authors

Madeline Christman, California Lutheran University

Abstract

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.

Author Bio

Madeline Christman wrote this paper for her senior capstone project in the fall of 2013 at California Lutheran University. She graduated from CLU in May of 2014, Summa Cum Laude, with a Bachelor of Science Degree in Mathematics. She is currently pursuing a Master’s in Secondary Mathematics Education.

Faculty Sponsor

Michael Gagliardo

Recommended Citation

Christman, Madeline (2015) "Lie Matrix Groups: The Flip Transpose Group," Rose-Hulman Undergraduate Mathematics Journal: Vol. 16: Iss. 1, Article 6.
Available at: https://scholar.rose-hulman.edu/rhumj/vol16/iss1/6