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: | , |
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| Format: | text |
| Language: | English |
| Published: |
Animo Repository
2018
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| Subjects: | |
| Online Access: | https://animorepository.dlsu.edu.ph/etd_bachelors/18586 |
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| Institution: | De La Salle University |
| Language: | English |
| 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. |
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