Lectures/Tutorials
Lectures
are on
Monday
9:00 -10:45 Israels 0.07
Wednesday 9:00
-10:45 Unnik 209
Tutorials
are on the same day
Monday
11:00 -12:45 Israels 0.07
Teacher Johan van de Leur
Hans Freudenthalgebouw 509
e-mail: J.W.vandeLeur"at"uu.nl
tel. 030-2533833
Teaching Assistent: Eva van Ammers
We will use the book Representations and
Characters of Groups by Gordon James and
Martin Liebeck (any edition is in principle okay).
If there are only Dutch students the lectures and tutorials will be in Dutch.
Exam June
28, 9.00-12.00 h.
On May 17 there will be some
homework exercises they can count for 1/10-th of your
final grade, i.e., the grade for this course is the
maximum of the exam grade or 9/10 x grade of the exam
+ 1/10 grade homework
See also Osiris
Catalogus
Monday April 24
lecture: Various
topics of chapters Ch1 and Ch2. Ch3
material: Prerequisites
in Linear algebra and groupes, definition of
representation of a group + examples
tutorial
exercises: 1.4, 1.9, 3.2, 3.3,
3.5, 3.6
lecture: Ch4 and Ch5 powerpoint
material: (Ir)reducible
representations, regular representation and examples, the
group algebra FG and the connection between FG-module and
G-representations
tutorial
exercises: 3.5, 3.8, 4.3, 5.3, 5.4
Monday May 1 powerpoint
lecture: Ch6 + Ch8 until 8.7
material: FG-submodules, G-invariant subspaces, direct sum
and Maschke's theorem
tutorial
exercises: 6.1,6.2,6.4, 8.1,
8.2
Wednesday May 3
powerpoint
lecture: Ch7 + Ch9 until 9.2
material: FG homomorfismen, Schur'
s Lemma
tutorial
exercises: 7.3, 7.6, 8.4, 8.5, 9.2, 9.4
Monday May 8 powerpoint
lecture: rest Ch8 + rest Ch9
material: Consequences of Maschke's Theorem and
Schur''s
Lemma
tutorial
exercises: 8.3, 8.7, 9.1, 9.3,
9.5, 9.7,
Wednesday May 10 powerpoint
lecture:
material: Ch10 in
particular that the regular representation contains all
irreducible representations
Possible a part of Ch11
tutorial
exercises: 10.2, 10.3, 10.4
Monday May 15 powerpoint
lecture:
material: Ch11,12.7 until 12.10,
introduction character
exercises: 11.1-11.5, 12.2
Wednesday May 17 powerpoint
lecture:
material: Ch13
tutorial
exercises: 12.3, 13.1,
13.2, 13.4, 13.5, 13.6
Homework exercises (deadline Wednesday May 31, 9.00
am)
Monday May 22 powerpoint
lecture:
material: Ch14
tutorial
exercises: 14.1-14.3, 14.5-14.7
Wednesday May 24 powerpoint
lecture:
material: Ch15 and Ch16
tutorial
exercises: 15.1-4, 16.3,
16.4-6
Monday May 29 powerpoint
lecture:
material: Ch19
tutorial
exercises: 19.1-6
Wednesday May 31 powerpoint
lecture:
material: Ch17
tutorial
exercises: 17.2-7
Monday June 5
No lecture and tutorial
Wednesday June 7 powerpoint
lecture:
material: Ch20
tutorial
exercises: 20.1-5
Monday June 12 powerpoint
lecture:
material: Part of Ch21 (until 21.23)
tutorial
exercises: 21.1-6
Wednesday June 14
No lecture and tutorial
Monday June 19
lecture:
material: Ch22 (until 22.6 the fact that X(1) divides
the order of the group)
tutorial
exercises: 22.1-3 an 21.5
Wednesday June 21
No lecture, you
can ask questions at the Tutorial
N.B. You can/may always come to my room to ask
questions
Exam June
28, 9.00-12.00 h.
Old exams (in Dutch) see tentamens
A-Eskwadraat.
During the exam, you are not allowed to use the book. You
may bring 1 sheet of A4 paper on which on both sides
mathematics is written. You may write down whatever you
want on this piece of paper.