Understanding simple module of some group algebras and path algebras
Group algebra uses the structure of groups and brings it to the field of module theory. This allow us to use another theory to understand the groups. The question is how well do we understand the modules of the group algebras. We attempt to dive into the simple modules given by the group algebra...
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| Format: | Final Year Project (FYP) |
| Language: | English |
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Nanyang Technological University
2021
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| Online Access: | https://hdl.handle.net/10356/148432 |
| _version_ | 1826122192982638592 |
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| author | Aw, Wee Chong |
| author2 | Lim Kay Jin |
| author_facet | Lim Kay Jin Aw, Wee Chong |
| author_sort | Aw, Wee Chong |
| collection | NTU |
| description | Group algebra uses the structure of groups and brings it to the field of module theory.
This allow us to use another theory to understand the groups. The question is how well
do we understand the modules of the group algebras. We attempt to dive into the simple
modules given by the group algebra and hope to identify and study them. Furthermore, we
dive into path algebras to obtain interesting results. |
| first_indexed | 2024-10-01T05:44:29Z |
| format | Final Year Project (FYP) |
| id | ntu-10356/148432 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T05:44:29Z |
| publishDate | 2021 |
| publisher | Nanyang Technological University |
| record_format | dspace |
| spelling | ntu-10356/1484322023-02-28T23:15:20Z Understanding simple module of some group algebras and path algebras Aw, Wee Chong Lim Kay Jin School of Physical and Mathematical Sciences LimKJ@ntu.edu.sg Science::Mathematics::Algebra Group algebra uses the structure of groups and brings it to the field of module theory. This allow us to use another theory to understand the groups. The question is how well do we understand the modules of the group algebras. We attempt to dive into the simple modules given by the group algebra and hope to identify and study them. Furthermore, we dive into path algebras to obtain interesting results. Bachelor of Science in Mathematical Sciences 2021-04-27T06:51:32Z 2021-04-27T06:51:32Z 2021 Final Year Project (FYP) Aw, W. C. (2021). Understanding simple module of some group algebras and path algebras. Final Year Project (FYP), Nanyang Technological University, Singapore. https://hdl.handle.net/10356/148432 https://hdl.handle.net/10356/148432 en application/pdf Nanyang Technological University |
| spellingShingle | Science::Mathematics::Algebra Aw, Wee Chong Understanding simple module of some group algebras and path algebras |
| title | Understanding simple module of some group algebras and path algebras |
| title_full | Understanding simple module of some group algebras and path algebras |
| title_fullStr | Understanding simple module of some group algebras and path algebras |
| title_full_unstemmed | Understanding simple module of some group algebras and path algebras |
| title_short | Understanding simple module of some group algebras and path algebras |
| title_sort | understanding simple module of some group algebras and path algebras |
| topic | Science::Mathematics::Algebra |
| url | https://hdl.handle.net/10356/148432 |
| work_keys_str_mv | AT awweechong understandingsimplemoduleofsomegroupalgebrasandpathalgebras |