Courses & Units

Symmetries, Groups, and Representations KMA368

Hobart

Note:

Introduction

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.

Summary

Unit name Symmetries, Groups, and Representations
Unit code KMA368
Credit points 12.5
Faculty/School Faculty of SET, AMC, IMAS
School of Physical Sciences
Discipline Mathematics and Physics
Coordinator

Teaching staff

Dr J Sumner

Level Advanced
Available as student elective? Yes
Breadth Unit? No

Availability

Location Study period Attendance options Available to
Hobart Semester 2 On-Campus International Domestic

Key

On-campus
Off-Campus
International students
Domestic students
Note

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.

Special approval is required for enrolment into TNE Program units.

TNE Program units special approval requirements.

Key Dates

Study Period Start date Census date WW date End date
Semester 2 16/7/2018 10/8/2018 3/9/2018 21/10/2018

* 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.

About Census Dates

Fees

Domestic

Band CSP Student Contribution Full Fee Paying (domestic) Field of Education
2 2017: $1,131.00 2017: $2,168.00 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.

Requisites

Prerequisites

Co-requisites

Mutual Exclusions

You cannot enrol in this unit as well as the following:

Teaching

Teaching Pattern

3 x 1-hr lectures, 1-hr tutorial per week

Assessment

3- hr exam (60%), mid-semester test (20%), assignments (20%)

TimetableView the lecture timetable | View the full unit timetable

Textbooks

Required

Recommended

Co-op Bookshop links

The University reserves the right to amend or remove courses and unit availabilities, as appropriate.