M3/4/5P12 Group Representation Theory 2015

Office hours:

Please email m.towers@imperial.ac.uk to make an appointment.

.tex files for all the latex documents below are available at the bottom of the page. Not after the google sites upgrade broke all the drive links - sorry. Email matthew.towers@gmail.com if you want them or the problem sheet solutions.

Lecture notes

All lecture notes in one file

Course arrangements and part 1 of lecture notes

Lecture notes part 2

Lecture notes part 3

Lecture notes part 4

Problem sheets

Problem sheet 1 // Solutions

Problem sheet 2 // Solutions

Problem sheet 3 // Solutions

Problem sheet 4 // Solutions

Problem sheet 5 // Solutions

Coursework

There will be two pieces of coursework, the first to be handed in to the general office by 4pm on Friday 6th March (week 8) and the second by Thursday 26th March (week 11). Standard Imperial coursework rules apply, see here.

First coursework sheet // Solutions

Second coursework sheet // Solutions

Mastery material

The mastery question for M4/5P12 will be on representations of quivers. The assigned reading is lectures 1 and 3 from Harm Derksen's Math 711 course here. Many other sources on quivers exist (e.g. Etingof et. al Introduction to representation theory which is also available in book form) and you are encouraged to read around, but the exam question will use the same notation and conventions as Derksen. You will not be allowed to take any printed material into the mastery exam.

Other things that may be useful

Past exam papers -- suggested questions:

2014 3, 4 (not (d))

2013 2, 3

2012 2, 3, 4

2011 1 (not c), 2 (not d)

2010 1

2009 4

2007 1, 2, 3 ((i) means the row and column orthogonality relations), 4, 5

2006 1, 2, 4 (not b(ii)), 5

2005 1, 2, 4 (not b(ii)), 5

Ed Segal's 2014 lecture notes and problem sheets

Suggestions for compiling small-screen-friendly LaTeX documents:

(with thanks to Zichen Liu) One way to produce LaTeX documents which are more readable on a mobile phone or tablet is changing the documentclass line to \documentclass[a6paper,12pt]{article} and adding \usepackage[margin=2mm]{geometry} to the preamble. For other ideas, see

http://tex.stackexchange.com/questions/78920/generating-smartphone-readable-pdf

http://melangerie.blogspot.co.uk/2011/10/making-e-reader-compatible-document-in.html

http://tex.stackexchange.com/questions/16374/effort-to-make-latex-ebook-friendly

http://tex.stackexchange.com/questions/1632/creating-kindle-friendly-versions-of-existing-latex-documents