Welcome to the course.
The schedule for the course can be found via the link to
webTimeEdit top of the page.
The
exam 151026 with solutions.
The
exam 160107 with solutions.
J. Brzezinski, Linjär och multilinjär algebra.
For those requiring a book in English, the main topics are covered by S. Lang, Algebra.
A
checklist for the course contents.
Some lecture notes:
Groups of order 6. (Not really part of the course literature, just an improved presentation of an example from one of the lectures.)
Unique factorization. (This should be considered as part of the course literature, see also B Ex. 2.252.26 and L II.5.)
Modules. (Part of course literature, see also B Chapter 3 and L III.35.)
Modules over a PID. New version 20 October! (Part of course literature, see also B Chapter 8 and L III.7., XIV.23.)
Determinants.
This is mostly for orientation, the details are not important for the exam.
Group representations. Notes written by Ulf Persson.
The same content as Chapter 9 in Brzezinski but some proofs are much shorter.
More on group representations.
Part of the course literature.
Representations of the symmetric group. Part of the course literature.
SchurWeyl duality. Part of the course literature.
B refers to Brzezinski and L to the 3rd edition of Lang's Algebra.
Day 
Chapter

Contents

31/8 and 1/9

B: 1
L: I.24

Review of group theory

3/9

B: 2
L: II.12

Review of ring theory

8/9

These notes
B:3, L: III.1

Unique factorization Introduction to modules

10/9

These notes L: III.4

Modules

15/9

These notes B: 8, L: III.7

Modules over a PID

17/9

As 15/9, see also L: XIV.23

Canonical forms for matrices

22/9

B: 4, L: XVI.12, XVI.45

Tensor products

24/9

B: 5, L: XIX.1
These notes

Tensors and exterior algebra
Applications to determinants

29/9

B: 9, L: XVIII.15 These notes (by Ulf Persson)

Group representations

1/10

These notes

More on group representations

6/10

Notes

Representations of the symmetric group

8/10

as above

Characters of the symmetric group

13/10

Notes

SchurWeyl duality

15/10


Course evaluation Repetition

Each Monday except 31/8 we will have a problem session.
If you are present the whole session and are prepared to present the solution to at least three problems to the class, you will earn a bonus point for the
exam.
Exercises 1 for 7 September.
Exercises 2 for 14 September.
Exercises 3 for 21 September.
Exercises 4 for 28 September. Not available.
Exercises 5 for 5 October.
Exercises 6 for 12 October.
There will be a written exam Monday 26 October 08:3012:30.
The maximal number of points will be 30. At most 6 bonus points from the problem sessions can be added to the result. To pass the course you need 15 points and for high pass (VG) 25 points.
In
Chalmers Student Portal you can read about when exams are
given and what rules apply on exams at Chalmers.
At the link
Scedule
you can find when exams are given for courses at University of
Gothenburg.
At the exam, you should be able to show valid identification.
Before the exam, it is important that you report that you want to
take the examination. If you study at Chalmers, you will do this
by the
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Gothenburg, so sign up via
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Student Portal.
You can see your results in Ladok by logging on to the Student
portal.
At the annual examination:
When it is practical a separate review is arranged. The date of
the review will be announced here on the course website. Anyone
who can not participate in the review may thereafter retrieve and
review their exam on Mathematical sciences study expedition,
Monday through Friday, from 9:00 to 13:00. Check that you have the
right grades and score. Any complaints about the marking must be
submitted in writing at the office, where there is a form to fill
out.
At reexamination:
Exams are reviewed and picked up at the Mathematical sciences
study expedition, Monday through Friday, from 9:00 to 13:00. Any
complaints about the marking must be submitted in writing at the
office, where there is a form to fill out.
...