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Concept
Tits System
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Summary
A
Tits System
, or BN-pair, is an
Algebraic Structure
that provides a framework for understanding the group-theoretic and
Geometric Properties
of
Reductive algebraic groups
and
Lie Groups
. It plays a crucial role in the
Classification of simple algebraic groups
and the study of their subgroups, particularly through the
Construction of buildings
and the analysis of their symmetry properties.
Concepts
Reductive Algebraic Group
Lie Group
Simple Algebraic Group
BN-pair
Building
Coxeter Group
Parabolic Subgroup
Bruhat Decomposition
Borel Subgroup
Relevant Degrees
Algebra 100%
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