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Concept
Exceptional Group
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Summary
Exceptional Groups
are a set of five
Complex Lie groups
that do not fit into the infinite families of
Classical Groups
but are nonetheless fundamental in the classification of
Simple Lie groups
. These groups, denoted as G2, F4, E6, E7, and E8, play significant roles in various fields such as
Theoretical Physics
, particularly in
String Theory
and
Grand Unified Theories
.
Concepts
Lie Group
Simple Lie Group
G2
F4
E6
E7
E8
Root System
Dynkin Diagram
Representation Theory
Algebraic Group
Symmetry
String Theory
Grand Unified Theory
Lie Type Group
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