An analogue of Lagrange's theorem for continued fractions on the Heisenberg group and some associated matrices

• Main Authors: Quilala, Mikko Gabriel A., Tumolva, Rasper J.
• Format: text
• Language: English
• Published: Animo Repository 2018
• Subjects: Physical Sciences and Mathematics
• Online Access: https://animorepository.dlsu.edu.ph/etd_bachelors/18586
• Institution: De La Salle University

We do an exposition of the paper by Vandehey entitled Lagrange's theorem for continued fractions on the Heisenberg group. In the process, we will discuss different models of the Heisenberg group (S) and study how one moves from one model to another. We also discuss analogous concepts and operat...