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Concept
Tits Cone
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Summary
The
Tits Cone
is a
Geometric object
associated with a
Kac-Moody Algebra
, capturing the structure of its
Root System
and providing insights into the algebra's
Representation Theory
. It is crucial for understanding the symmetry and
Combinatorial Properties
of
Kac-Moody Algebra
s, particularly in
Infinite-dimensional settings
.
Concepts
Kac-Moody Algebra
Root System
Weyl Group
Hyperbolic Geometry
Coxeter Group
Representation Theory
Dynkin Diagram
Reflection Group
Affine Lie Algebra
Symmetric Space
Coxeter Groups
Relevant Degrees
Algebra 70%
Geometry 30%
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