Classification and Dynkin formalism Flashcards
1
Q
Give the 3 useful quantities for root geometry
A
2
Q
How do you get the Cartan from the dynkin diagram
A
3
Q
Give all the dynkin diagrams
A
4
Q
State the Freudenthal formula
A
5
Q
State the Weyl formula
A
6
Q
How do you calculate C()
A
7
Q
Define regular
A
8
Q
Give the extended dynkin diagrams
A
9
Q
How do you get the dynkin labels from young tableux
A
Note that the length differences of the Young tableau rows are precisely the highest weight Dynkin labels of the irrep
10
Q
How to calculate U(1) charge of weights
A
11
Q
Give the formula for the metric tensor
A
12
Q
U(1) charges in YT
A
13
Q
Give algorithm to generate roots
A
