The unit will cover basic group theory leading towards the theory of the matrix representations. Students will be introduced to the subject through a general discussion of symmetry in the physical and biological sciences, with a view to understanding how the irreducible representations of finite groups can be used to reduce problem complexity. Topics include: symmetry and group theory basics, permutation representations, Cayley's theorem, homomorphism theorem, group actions, orbit-stablizer theorem, linear algebra basics, matrix representations and reducibility, Maschke's Theorem, Schurs Lemmas, and group characters.
The unit is suitable for students interested in applications of algebraic methods, with examples taken from geometry, graph theory, quantum physics, Markov chains, and phylogenetics.
|Unit name||Symmetries, Groups, and Representations|
|Faculty/School||College of Sciences and Engineering
School of Natural Sciences
|Discipline||Mathematics & Physics|
Dr J Sumner
|Available as student elective?||Yes|
|Location||Study period||Attendance options||Available to|
- International students
- Domestic students
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Units are offered in attending mode unless otherwise indicated (that is attendance is required at the campus identified). A unit identified as offered by distance, that is there is no requirement for attendance, is identified with a nominal enrolment campus. A unit offered to both attending students and by distance from the same campus is identified as having both modes of study.
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|Study Period||Start date||Census date||WW date||End date|
* The Final WW Date is the final date from which you can withdraw from the unit without academic penalty, however you will still incur a financial liability (see withdrawal dates explained for more information).
Unit census dates currently displaying for 2018 are indicative and subject to change. Finalised census dates for 2018 will be available from the 1st October 2017.
|Band||CSP Student Contribution||Full Fee Paying (domestic)||Field of Education|
|2||2018: $1,148.00||2018: $2,243.00||010101|
Fees for next year will be published in October. The fees above only apply for the year shown.
Please note: international students should refer to this page to get an indicative course cost.
You cannot enrol in this unit as well as the following:
3 x 1-hr lectures, 1-hr tutorial per week
3- hr exam (60%), mid-semester test (20%), assignments (20%)
|Timetable||View the lecture timetable | View the full unit timetable|
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