An analogue of Lagrange's theorem for continued fractions on the Heisenberg group and some associated matrices
Date of Publication
2018
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics with Specialization in Computer Applications
Subject Categories
Physical Sciences and Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
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 operations in S to those in the classical case. Then we focus on the properties of 3x3 matrices that act on S via left multiplication and discuss some of their actions on the continued fraction expansion of an element h of S.
Abstract Format
html
Language
English
Format
Electronic
Accession Number
CDTU017673
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Recommended Citation
Quilala, M. A., & Tumolva, R. J. (2018). An analogue of Lagrange's theorem for continued fractions on the Heisenberg group and some associated matrices. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/18586
