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Concept
Exceptional Groups
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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 exhibit unique
Symmetry properties
, playing a crucial role in various areas of mathematics and
Theoretical Physics
. These groups are denoted as G2, F4, E6, E7, and E8, and are characterized by their intricate structure and exceptional
Algebraic Properties
.
Concepts
Lie Groups
Symmetry
G2
F4
E6
E7
E8
Root Systems
Dynkin Diagrams
Representation Theory
Algebraic Groups
Topology
String Theory
Quantum Field Theory
Sporadic Group
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