Glossary of Lie groups and Lie algebras


This is a glossary for the terminology applied in the mathematical theories of Lie groups and Lie algebras. For the topics in the representation theory of Lie groups and Lie algebras, see Glossary of representation theory.
Notations:

B

C

D

E

F

G

H

I

J

K

L

N

M

P

R

S

Classical Lie algebras:
Special linear algebra
Orthogonal algebra
Symplectic algebra
Orthogonal algebra

Exceptional Lie algebras:
Root Systemdimension
G214
F452
E678
E7133
E8248

T

U