Picture above: Student
Mathematical Sciences

Hans Freudenthalgebouw 509

e-mail: J.W.vandeLeur"at"uu.nl

tel. 030-2533833

Teaching Assistent: Eva van Ammers

**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:

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.