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 |
| Summary: | 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. |
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