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Concept
Coxeter Matrix
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Summary
A
Coxeter Matrix
is a
Square Matrix
associated with a
Coxeter Group
, where each entry represents the
Order of the product
of
Two generators
of the group. It is symmetric, with
Diagonal Elements
equal to one, and off-
Diagonal Elements
that are either
Integers greater than one
or infinity, indicating the
Absence of a relation
between the
Corresponding generators
.
Concepts
Coxeter Group
Reflection Group
Symmetric Matrix
Generators And Relations
Group Theory
Matrix Algebra
Geometric Representation
Finite Groups
Infinite Groups
Root System
Coxeter Groups
Coxeter Diagram
Relevant Degrees
Algebra 70%
Geometry 30%
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