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

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

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...

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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
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Institution:	De La Salle University
Language:	English

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spelling	oai:animorepository.dlsu.edu.ph:etd_bachelors-190992022-02-14T07:05:09Z An analogue of Lagrange's theorem for continued fractions on the Heisenberg group and some associated matrices Quilala, Mikko Gabriel A. Tumolva, Rasper J. 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. 2018-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/18586 Bachelor's Theses English Animo Repository Physical Sciences and Mathematics
institution	De La Salle University
building	De La Salle University Library
continent	Asia
country	Philippines Philippines
content_provider	De La Salle University Library
collection	DLSU Institutional Repository
language	English
topic	Physical Sciences and Mathematics
spellingShingle	Physical Sciences and Mathematics Quilala, Mikko Gabriel A. Tumolva, Rasper J. An analogue of Lagrange's theorem for continued fractions on the Heisenberg group and some associated matrices
description	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.
format	text
author	Quilala, Mikko Gabriel A. Tumolva, Rasper J.
author_facet	Quilala, Mikko Gabriel A. Tumolva, Rasper J.
author_sort	Quilala, Mikko Gabriel A.
title	An analogue of Lagrange's theorem for continued fractions on the Heisenberg group and some associated matrices
title_short	An analogue of Lagrange's theorem for continued fractions on the Heisenberg group and some associated matrices
title_full	An analogue of Lagrange's theorem for continued fractions on the Heisenberg group and some associated matrices
title_fullStr	An analogue of Lagrange's theorem for continued fractions on the Heisenberg group and some associated matrices
title_full_unstemmed	An analogue of Lagrange's theorem for continued fractions on the Heisenberg group and some associated matrices
title_sort	analogue of lagrange's theorem for continued fractions on the heisenberg group and some associated matrices
publisher	Animo Repository
publishDate	2018
url	https://animorepository.dlsu.edu.ph/etd_bachelors/18586
_version_	1772835309080281088

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

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