Lie algebras Flashcards
1
Q
Give the basic terminology of lie algebras
A
2
Q
Define simple and semi simple lie algebras
A
3
Q
Define radical
A
4
Q
How can every Lie algebra be written
A
5
Q
What does the adjoint rep satisfy
A
6
Q
Define the Killing form
A
7
Q
How are semi simplicity and the Killing form related
A
8
Q
Define Casimir
A
9
Q
Define index of representation
A
10
Q
Give relationship between index and casimir
A
11
Q
Define Cartan Sub algebra
A
12
Q
Define roots
A
13
Q
Define weight
A
14
Q
Define simple root
A
15
Q
Define ai for weight
A
16
Q
Define Cartan matrix
A
17
Q
A
