Definitions Flashcards
1
Q
Representation
A
.
2
Q
Equivalent Representation
A
.
3
Q
Faithful Representation
A
.
4
Q
FG-Module
A
.
5
Q
Endomorphism Relative To A Basis
A
.
6
Q
Trivial FG-Module
A
.
7
Q
Faithful FG-Module
A
.
8
Q
Permutation Module
A
.
9
Q
FG-Submodule
A
.
10
Q
Irreducible FG-Module
A
.
11
Q
Group Algebra
A
.
12
Q
Regular FG-Module
A
.
13
Q
Regular Representation
A
.
14
Q
FG Acts On An FG-Module
A
.
15
Q
FG-Homomorphism
A
.
16
Q
Isomorphic FG-Modules
A
.
17
Q
Direct Sum Of Vector Spaces
A
.
18
Q
Projection
A
.
19
Q
External Direct Sum Of Vector Spaces
A
.
20
Q
External Direct Sum Of FG-Modules
A
.
21
Q
Completely Irreducible FG-Module
A
.
22
Q
Centre Of A Group Algebra
A
.
23
Q
Centre Of A Group
A
.
24
Q
Composition Factor
A
.
25
Common Composition Factor
.
26
The Space Of CG-Homomorphisms
.
27
Complete Set Of Non-Isomorphic Irreducible CG-Modules
.
28
Group Acting On A Set
.
29
Orbit
.
30
Stabiliser
.
31
Conjugacy Class
.
32
Class Sums
.
33
Trace
.
34
Character Of A CG-Module
.
35
Character Of A Representation
.
36
Character Of A Group
.
37
Irreducible/Reducible Character
.
38
Degree Of A Character
.
39
Linear Characters
.
40
Trivial Character
.
41
Kernal Of A Character
.
42
Faithful Character
.
43
Complex Conjugate Of A Character
.
44
Regular Character
.
45
Permutation Character
.
46
Class Functions
.
47
Inner Product On Set Of Functions From G To C
.
48
External Direct Sum Of M Copies Of V
.
49
Kronecker Delta Function
.
50
Constituent
.
51
Character Table
.
52
Lift
.
53
Commuter/Derived Subgroup
.
54
mn-Dimensional Vector Space Over C
.
55
Tensor Product Module
.
56
Def 18.11
.
57
Algebraic Integer
.
