The s-tame dimension vectors for stars [Elektronische Ressource] / vorgelegt von Angela Holtmann

Sujets

• Mathematics

Informations

• Publié par: universitat_bielefeld
• Publié le: 01 janvier 2003
• Nombre de lectures: 23
• Langue: English

Extrait

Mathematik
The
Angela
s-tame
v
dimension
2003
v
ersit?t
ectors
v
for
Jan
stars
f?r
Dissertation
Univ
zur
Bielefeld
Erlangung
orgelegt
des
on
Doktorgrades
Holtmann
der
uar
F
akult?test?ndigem
1.
Pr?fung:
Gutac
der
h
Gedruc
ter:
ISO
Prof.
?ndlic
Dr.
M?rz
Claus
auf
Mic
apier
hael
ag
Ringel
m
2.
hen
Gutac
25.
h
2003
ter:
kt
Prof.
alterungsb
Dr.
P
Andreas
1
Dress
9706
Tectors
Con
9
ten
a
ts
Reections
1
tations
In
and
tro
.
duction
.
1
.
2
families
Subspace
.
represen
.
tations
of
9
.
3
.
Corresp
.
ondence
.
of
41
s-v
The
ectors
8.2
and
.
tuples
of
of
.
comp
.
ositions
yp
11
.
3.1
the
s-v
.
ectors
of
and
.
tuples
.
of
Reections
comp
.
ositions
.
.
.
.
of
.
of
.
er
.
represen
.
for
.
.
.
.
.
8.3
.
tations
.
dimension
.
.
.
.
.
.
.
s-tame
.
ectors
.
v
.
.
.
50
.
dimension
.
.
.
39
11
represen
3.2
ers
The
.
Tits
.
form
.
for
.
tuples
39
of
dimension
comp
.
ositions
.
.
.
.
.
.
.
.
.
.
F
.
osable
.
a
.
42
.
um
.
parameters
.
indecomp
.
.
.
ot
.
ers
.
of
.
.
.
.
.
.
.
.
13
of
4
osable
Ov
the
erview
yp
of
ectors
prop
.
erties
.
of
.
strict
.
tuples
.
of
.
comp
of
ositions
the
16
dimension
5
9.1
Classication
s-tame
of
.
the
.
s-h
.
yp
.
ercritical
Characterisation
and
yp
s-tame
ectors
v
.
ectors
.
27
i
5.1
7.1
Classication
for
of
tations
the
quiv
s-h
.
yp
.
ercritical
.
v
.
ectors
.
.
.
.
.
.
.
.
.
.
.
.
7.2
.
for
.
v
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
27
.
5.2
.
Classication
8
of
amilies
the
indecomp
s-tame
represen
v
and
ectors
Theorem
.
Kac
.
8.1
.
n
.
b
.
of
.
for
.
of
.
osable
.
tations
.
42
.
Ro
.
systems
.
quiv
.
and
.
Theorem
.
Kac
.
.
.
.
.
.
.
.
.
.
.
.
29
.
5.3
42
Pro
Existence
ofs
families
of
indecomp
Prop
represen
ositions
for
5.3
s-tame
and
s-h
5.4
ercritical
.
v
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
43
.
Characterisation
.
the
.
and
.
s-h
.
ercritical
.
v
.
50
.
Characterisation
.
the
31
dimension
6
ectors
Decomp
.
osition
.
prop
.
erties
.
of
.
the
.
s-tame
.
v
9.2
ectors
of
34
s-h
7
ercritical
Reection
v
functors,
.
Co
.
xeter
.
functors
.
and
.
the
51
Auslander-Reiten
translate.
ii
of
10
.
s-tame
ercritical
6
of
=
.
tame
.
52
.
10.1
73
An

example:
s-tame
not
of
all
stars)
s-tame
ectors
dimension
.
v
s-tame
ectors
.
are
represen
tame
the
.
.
.
of
.
.
.
.
.
form
.
Tits
.
.
.
for
.
for
.
.
.
.
52
12.2
11
.
Construction
.
metho
.
ds
of
for
Constructing
families
represen
of
v
indecomp
.
osable
.
represen
Constructing
tations
represen-
53
.
11.1
.
Construction
.
metho
116
ds
eness
for
cases
n
negativ
-parameter
tame
families
.
of
.
indecomp
12
osable
dimension
represen-
12.1
tations
s-h
with
v
n
.

.
2
.
.
.
.
for
.
v
.
.
.
.
.
.
.
.
.
.
.
Constructing
.
osable
.
111
.
-parameter
.
osable
.
tions
.
yp
.
with
.
.
.
.
.
.
.
.
.
114
.
parameter
.
osable
.
for
.
ectors
.
.
.
.
.
.
.
.
.
.
.
.
54
Pro
11.2
p
Construction
the
metho
the
ds
B
for
the
one
of
parameter
in
families
(only
of
References
indecomp
.
osable
.
repre-
.
sen
69
tations
Orbits
.
the
.
v
.
71
.
Orbits
.
the
.
yp
.
dimension
.
ectors
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
71
.
Orbits
.
the
.
dimension
.
ectors
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
13
.
families
.
indecomp
.
subspace
.
tations
.
13.1
58
n
11.3
families
Construction
indecomp
metho
subspace
ds
ta-
for
for
indecomp
s-h
osable
ercritical
represen
ectors
tations
n
.
2
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
13.2
67
one
11.4
families
Another
indecomp
construction
subspace
metho
tations
d
the
for
v
one
.
parameter
.
families
.
of
.
indecomp
.
osable
.
represen
.
tations
.
.
.
.
.
.
.
.
.
.
.
.
A
.
of
.
the
.
ositiv
.
of
.
Tits
.
in
.
nite
.
136
.
Pro
.
of
.
non
.
eness
.
the
.
form
.
the
.
cases
.
for
.
137
.
138
.tation
iii
all
A
opp
c
mem
kno
diploma
wledgemen
m
ts
in
First
guests)
of
Bielefeld
all
for
I
tell
w
w
ould
h
lik
all
e
ers
to
the
thank
group
m
m
y
Ph.D.
sup
me
ervisor,
y
Prof.
ab
C.
curren
M.
and
Ringel,
questions
for
ed
his
this
con
other
tin
b
ued
(and
advice,
of
monitoring
represen
and
theory
all
in
his
during
encouragemen
y
ts
and
on
studies
m
giving
y
the
represen
ortunit
tation
to
theoretic
them
w
out
a
y
y
t
.
ork
I
for
w
their
ould
whic
also
help
lik
me
e
writing
to
thesis.
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