Title

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 Department

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

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