Coxeter group

This thesis is a summary of some chapters of James E. Humphreys's,``Reflection Groups and Coxeter Groups" in hope to help readers who are using the book to study Coxeter group. The thesis summarized chapters one, two, four and five of the book. This thesis will be focused much on the first...

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Main Author: Timothy, Kevin
Other Authors: Lim Kay Jin
Format: Final Year Project
Language:English
Published: 2018
Subjects:
Online Access:http://hdl.handle.net/10356/76209
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-762092023-02-28T23:15:47Z Coxeter group Timothy, Kevin Lim Kay Jin School of Physical and Mathematical Sciences DRNTU::Science::Mathematics::Algebra This thesis is a summary of some chapters of James E. Humphreys's,``Reflection Groups and Coxeter Groups" in hope to help readers who are using the book to study Coxeter group. The thesis summarized chapters one, two, four and five of the book. This thesis will be focused much on the first chapter of the book, giving more examples and elaboration. Chapter one of the thesis talks about group generated by reflection, the properties we can get and the connection to Coxeter group. Chapter two states the possible classification of the Coxeter graph. Chapter three explains affine reflection groups and the Coxeter group from it. Chapter four finally talks about the Coxeter groups in abstract manner. Chapter five then concludes and give further studies related to Coxeter group. Bachelor of Science in Mathematical Sciences 2018-11-30T04:59:03Z 2018-11-30T04:59:03Z 2018 Final Year Project (FYP) http://hdl.handle.net/10356/76209 en 48 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Science::Mathematics::Algebra
spellingShingle DRNTU::Science::Mathematics::Algebra
Timothy, Kevin
Coxeter group
description This thesis is a summary of some chapters of James E. Humphreys's,``Reflection Groups and Coxeter Groups" in hope to help readers who are using the book to study Coxeter group. The thesis summarized chapters one, two, four and five of the book. This thesis will be focused much on the first chapter of the book, giving more examples and elaboration. Chapter one of the thesis talks about group generated by reflection, the properties we can get and the connection to Coxeter group. Chapter two states the possible classification of the Coxeter graph. Chapter three explains affine reflection groups and the Coxeter group from it. Chapter four finally talks about the Coxeter groups in abstract manner. Chapter five then concludes and give further studies related to Coxeter group.
author2 Lim Kay Jin
author_facet Lim Kay Jin
Timothy, Kevin
format Final Year Project
author Timothy, Kevin
author_sort Timothy, Kevin
title Coxeter group
title_short Coxeter group
title_full Coxeter group
title_fullStr Coxeter group
title_full_unstemmed Coxeter group
title_sort coxeter group
publishDate 2018
url http://hdl.handle.net/10356/76209
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