Reductive Groups Dependency graph

Algebraic Groups
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AlgebraicGroups.Forms
AlgebraicGroups.Tori
abv
additive-group
adeles
adjoint
adjoint-action
adjoint-group
adjunction
admissible-sets
affine-algebraic-groups
affine-group-scheme
affine-group-schemes
affine-root-systems
affine-schemes
affine-variety
affine-weyl-groups
algebra-hom
algebraic-fundamental-group
algebraic-group
algebraic-groups
anisotropic
antipode
apartments
automorphisms
b-g
bala-carter
base-change
based-root-data
basic-elements
bd-covers
bialgebra
bn-pairs
borel
borel-subgroup
borel-subgroups
bruhat-decomposition
bruhat-order
bruhat-tits
bruhat-tits-buildings
brylinski-deligne
buildings-and-parahorics
cartan-matrices
cartan-subgroup
center
centers
central-extensions
central-isogenies
centralizer
character
character-lattice
characters
chevalley
chevalley-basis
classical-and-exceptional-groups
classical-groups
classification
closed-subgroup
closed-subgroups
coalgebra
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cocycle
cocycles
combinatorics
commutative-algebra
commutative-group
comodule
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connected-component
connected-components
connected-group
construction
convolution
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coordinate-rings
corollary
coroot
coroots
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coxeter-complexes
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cuspidal
decomposition
definition
definitions
deligne-lusztig
derived-group
descent
descent-and-forms
determinant
diagonalizable
diagonalizable-group
diagonalizable-groups
dual-group
dual-groups
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dual-root-systems
duality
dynkin-diagrams
elliptic-elements
embedding-theorem
endoscopy
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equivariant-embedding
example
examples
exceptional-groups
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f-group
f-reductive-group
f-split
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field-of-definition
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finite-field
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finiteness
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fundamental-group
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galois-action
galois-cohomology
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geometric-conjugacy
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group-action
group-like
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hopf-algebra
hopf-algebras
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images
indexed-root-datum
induced
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isomorphism-theorem
jacobson-morozov
jordan-decomposition
jordan-zassenhaus
k-theory
k2
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kottwitz
kottwitz-homomorphism
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l-groups
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lang-theorem
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langlands-dual-groups
lemma
levi-decomposition
levi-subgroups
lie-algebra
lie-algebras
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local-fields
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lusztig-series
mathlib-aligned
maximal-tori
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metaplectic-covers
morphisms
moy-prasad-filtrations
multiplicative-group
multiplicative-type
newton-map
nilpotent-cone
nilpotent-elements
nilpotent-orbits
nonabelian-h1
norm-one
orbit
orbital-integrals
orthogonal
outer-forms
parabolic
parabolic-subgroups
parahoric-group-schemes
parahoric-subgroups
perverse-sheaves
pinned-dual-groups
pinnings
positive-roots
pure-inner-twists
quantum-groups
quasi-split
quasi-split-forms
quasi-trivial
quotient
quotients
radical
ramification
rank
rank-one
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rational-forms
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reductive-group
reductive-groups
reductive-quotients
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regular-elements
regular-semisimple
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relative-root-datum
relative-weyl-group
representation
resolution
rigid-inner-forms
rigid-inner-twists
root-data
root-data-and-duality
root-data-automorphisms
root-datum
root-lattice
root-pairing
root-subgroup
root-subgroups
root-system
root-systems
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schubert-variety
semilinear
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semisimple-elements
semisimple-groups
semisimple-lie-algebra
sigma-conjugacy
simple-roots
simply-connected
simply-connected-cover
sl2-embedding
sl2-triples
smoothness
solvable-group
solvable-groups
spec
special-linear
special-orthogonal
speiser
spherical-buildings
split
split-rank
split-reductive-group
split-reductive-groups
split-torus
splitting-field
splittings
springer
springer-correspondence
stabilizer
stable-conjugacy
strong-inner-forms
strong-real-forms
strongly-regular
structure-constants
subtorus
symplectic
tame
tangent-space
theorem
tits-buildings
tits-index
tits-systems
tori
torsors
torus
trace-formula
triangularization
twisted-conjugacy
twisted-form
twisting
type-B
type-C
type-D
unipotent
unipotent-elements
unipotent-groups
unipotent-orbits
unipotent-radical
unipotent-radicals
unipotent-variety
unramified
valuation-rings
valued-root-data
vogan-diagrams
weakly-induced
weight-lattice
weighted-dynkin-diagrams
weil-restriction
weyl-group
weyl-groups
yoneda

Keyword: chevalley-basis

Definition Chevalley Basis admitted