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...
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Final Year Project (FYP) |
| Language: | English |
| Published: |
2018
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/10356/76209 |
| _version_ | 1826123365125980160 |
|---|---|
| author | Timothy, Kevin |
| author2 | Lim Kay Jin |
| author_facet | Lim Kay Jin Timothy, Kevin |
| author_sort | Timothy, Kevin |
| collection | NTU |
| 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. |
| first_indexed | 2024-10-01T06:03:28Z |
| format | Final Year Project (FYP) |
| id | ntu-10356/76209 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T06:03:28Z |
| publishDate | 2018 |
| record_format | dspace |
| spelling | ntu-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 |
| spellingShingle | DRNTU::Science::Mathematics::Algebra Timothy, Kevin Coxeter group |
| title | Coxeter group |
| title_full | Coxeter group |
| title_fullStr | Coxeter group |
| title_full_unstemmed | Coxeter group |
| title_short | Coxeter group |
| title_sort | coxeter group |
| topic | DRNTU::Science::Mathematics::Algebra |
| url | http://hdl.handle.net/10356/76209 |
| work_keys_str_mv | AT timothykevin coxetergroup |