| CODE | MAT3116 | ||||||||
| TITLE | Group Representations | ||||||||
| UM LEVEL | 03 - Years 2, 3, 4 in Modular Undergraduate Course | ||||||||
| MQF LEVEL | 6 | ||||||||
| ECTS CREDITS | 5 | ||||||||
| DEPARTMENT | Mathematics | ||||||||
| DESCRIPTION | - Quick review of groups, vector spaces and linear transformations; - Group representation over the complex field: matrix and module point of view; - Maschke’s theorem and Schur’s lemma; reducibility and complete reducibility; - Characters, inner products of characters and character tables. Main Text - James G. and Liebeck M., Representations and Characters of Groups, Cambridge University Press, Cambridge, 2001. Supplementary Reading - Serre J.P., Linear representations of Finite Groups, 4th Edition, Springer, 1977. - Nering E.D., Linear Algebra and Matrix Theory, 2nd Edition, Wiley, 1970. |
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| ADDITIONAL NOTES | Leads to: MAT5413 | ||||||||
| STUDY-UNIT TYPE | Lecture and Tutorial | ||||||||
| METHOD OF ASSESSMENT |
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| LECTURER/S | Josef Lauri |
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The availability of optional units may be subject to timetabling constraints. Units not attracting a sufficient number of registrations may be withdrawn without notice. It should be noted that all the information in the description above applies to study-units available during the academic year 2023/4. It may be subject to change in subsequent years. |
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