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(Created page with "These 160 pages do contain the keyword "algebraic group": Abelian variety | Adele group | Adjoint group | Adjoint representation of a Lie group | [[Algebraic ...")
 
m (algebraic group pages preordered)
 
(4 intermediate revisions by the same user not shown)
Line 1: Line 1:
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These 160 pages do contain the keyword "algebraic group":
+
These 168 pages do contain the keyword "algebraic group":
 +
 
 +
They are grouped according certain aspects. Below the list of all pages.
 +
''Work in progress''
 +
 
 +
===Analytic aspects===
 +
[[Analytic group]] |
 +
[[Automorphic function]] |
 +
[[Compact group]] |
 +
[[Complexification of a Lie group]] |
 +
[[Kähler-Einstein metric]] |
 +
[[Lie group, compact]] |
 +
[[Lie group, nilpotent]] |
 +
[[Lie group, semi-simple]] |
 +
[[Lie group, solvable]] |
 +
[[Lie group, supersolvable]] |
 +
[[Lie group]] |
 +
 
 +
===Arithmetic aspects===
 +
[[Adele group]] |
 +
[[Arithmetic group]] |
 +
[[Congruence subgroup problem]] |
 +
[[Congruence subgroup]] |
 +
[[Discrete subgroup]] |
 +
[[Hasse principle]] |
 +
[[Idele]] |
 +
[[Linear algebraic groups, arithmetic theory of]] |
 +
[[Tamagawa measure]] |
 +
[[Tamagawa number]] |
 +
 
 +
===Examples===
 +
[[General linear group]] |
 +
[[Linear algebraic group]] |
 +
[[Linear group]] |
 +
[[Orthogonal group]] |
 +
[[Spinor group]] |
 +
[[Symplectic group]] |
 +
 
 +
===Geometrical aspects===
 +
[[Abelian variety]] |
 +
[[Algebraic group of transformations]] |
 +
[[Algebraic variety, automorphism of an]] |
 +
[[Borel fixed-point theorem]] |
 +
[[Classical group]] |
 +
[[Deformation]] |
 +
[[Flag structure]] |
 +
[[Flag]] |
 +
[[Formal group]] |
 +
[[Group scheme]] |
 +
[[Homogeneous space of an algebraic group]] |
 +
[[Homogeneous space]] |
 +
[[Hopf algebra]] |
 +
[[Lie theorem]] |
 +
[[Matsushima criterion]] |
 +
[[Moduli theory]] |
 +
[[Mumford hypothesis]] |
 +
[[Orbit]] |
 +
[[Quantum groups]] |
 +
[[Satake compactification]] |
 +
[[Schubert calculus]] |
 +
[[Schubert cell]] |
 +
[[Schubert cycle]] |
 +
[[Schubert variety]] |
 +
[[Tits building]] |
 +
[[Transformation group]] |
 +
 
 +
===Group theory===
 +
[[Character group]] |
 +
[[Character of a group]] |
 +
[[Finite group]] |
 +
[[Group of finite Morley rank]] |
 +
[[Group]] |
 +
[[Simple group]] |
 +
 
 +
===Invariant theory===
 +
[[Comitant]] |
 +
[[Invariants, theory of]] |
 +
 
 +
===Lie algebras===
 +
[[Levi-Mal'tsev decomposition]] |
 +
[[Lie algebra of an algebraic group]] |
 +
[[Lie algebra, algebraic]] |
 +
[[Lie algebra, reductive]] |
 +
[[Lie algebra, semi-simple]] |
 +
[[Lie algebra, solvable]] |
 +
[[Lie algebra, supersolvable]] |
 +
[[Lie algebra]] |
 +
[[Lie p-algebra]] |
 +
 
 +
===Representations===
 +
[[Adjoint representation of a Lie group]] |
 +
[[Complementary series (of representations)]] |
 +
[[Contragredient representation]] |
 +
[[Deligne-Lusztig characters]] |
 +
[[Representation of a compact group(2)]] |
 +
[[Representation of a group]] |
 +
[[Weyl module]] |
 +
 
 +
===Structural aspects===
 +
[[Adjoint group]] |
 +
[[Algebraic group]] |
 +
[[Algebraic torus]] |
 +
[[Anisotropic group]] |
 +
[[Anisotropic kernel]] |
 +
[[Borel subgroup]] |
 +
[[Bruhat decomposition]] |
 +
[[Cartan subalgebra]] |
 +
[[Cartan subgroup]] |
 +
[[Cartan theorem]] |
 +
[[Chevalley group]] |
 +
[[Connected component of the identity]] |
 +
[[Diagonal group]] |
 +
[[Diagonalizable algebraic group]] |
 +
[[Form of an (algebraic) structure]] |
 +
[[Form of an algebraic group]] |
 +
[[Iwasawa decomposition]] |
 +
[[Jordan decomposition]] |
 +
[[Jordan matrix]] |
 +
[[Kneser-Tits hypothesis]] |
 +
[[Maximal torus]] |
 +
[[Parabolic subalgebra]] |
 +
[[Parabolic subgroup]] |
 +
[[Quasi-split group]] |
 +
[[Radical of a group]] |
 +
[[Rank of a Lie group]] |
 +
[[Rank of an algebraic group]] |
 +
[[Rank]] |
 +
[[Reductive group]] |
 +
[[Regular torus]] |
 +
[[Relative root system]] |
 +
[[Semi-simple algebraic group]] |
 +
[[Semi-simple element]] |
 +
[[Simply-connected group]] |
 +
[[Split group]] |
 +
[[Tits system]] |
 +
[[Torus]] |
 +
[[Unipotent element]] |
 +
[[Unipotent group]] |
 +
[[Weyl group]] |
 +
 
 +
===None of the above===
 +
[[Algebraic curve]] |
 +
[[Algebraic geometry]] |
 +
[[Algebraic independence]] |
 +
[[Algebraic surface]] |
 +
[[Constructible subset]] |
 +
[[Dieudonné module]] |
 +
[[Differential algebra]] |
 +
[[Dimension polynomial]] |
 +
[[Dixmier mapping]] |
 +
[[Duality]] |
 +
[[Extension of a differential field]] |
 +
[[Finiteness theorems]] |
 +
[[Galois cohomology]] |
 +
[[Gel'fond-Schneider method]] |
 +
[[General position]] |
 +
[[Hilbert theorem]] |
 +
[[Jacobi variety]] |
 +
[[Jordan algebra]] |
 +
[[Kempf vanishing theorem]] |
 +
[[Leibniz-Hopf algebra]] |
 +
[[Non-Abelian cohomology]] |
 +
[[Period mapping]] |
 +
[[Picard group]] |
 +
[[Picard scheme]] |
 +
[[Principal analytic fibration]] |
 +
[[Principal homogeneous space]] |
 +
[[Rational representation]] |
 +
[[Rational singularity]] |
 +
[[Rationality theorems]] |
 +
[[Reduced scheme]] |
 +
[[Schneider method]] |
 +
[[Selberg conjecture]] |
 +
[[Semi-invariant(2)]] |
 +
[[Shimura variety]] |
 +
[[Singular point]] |
 +
[[Smooth scheme]] |
 +
[[Solv manifold]] |
 +
[[Stability theorems in algebraic K-theory]] |
 +
[[Stability theory (in logic)]] |
 +
[[Steinberg module]] |
 +
[[Steinberg symbol]] |
 +
[[Tilting theory]] |
 +
[[Tits quadratic form]] |
 +
[[Topological dynamical system]] |
 +
[[Transcendental number]] |
 +
[[Trigonalizable element]] |
 +
[[Uniform distribution]] |
 +
[[Uniform subgroup]] |
 +
[[Weil-Châtelet group]] |
 +
[[Witt vector]] |
 +
[[Zeta-function]] |
 +
 
 +
 
 +
===All pages containing the keywords ''algebraic group''===
 +
 
  
 
[[Abelian variety]] |
 
[[Abelian variety]] |
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[[Algebraic curve]] |
 
[[Algebraic curve]] |
 
[[Algebraic geometry]] |
 
[[Algebraic geometry]] |
 +
[[Algebraic group of transformations]] |
 
[[Algebraic group]] |
 
[[Algebraic group]] |
−
[[Algebraic group of transformations]] |
 
 
[[Algebraic independence]] |
 
[[Algebraic independence]] |
 
[[Algebraic surface]] |
 
[[Algebraic surface]] |
Line 32: Line 227:
 
[[Complementary series (of representations)]] |
 
[[Complementary series (of representations)]] |
 
[[Complexification of a Lie group]] |
 
[[Complexification of a Lie group]] |
 +
[[Congruence subgroup problem]] |
 
[[Congruence subgroup]] |
 
[[Congruence subgroup]] |
−
[[Congruence subgroup problem]] |
 
 
[[Connected component of the identity]] |
 
[[Connected component of the identity]] |
 
[[Constructible subset]] |
 
[[Constructible subset]] |
 
[[Contragredient representation]] |
 
[[Contragredient representation]] |
 
[[Deformation]] |
 
[[Deformation]] |
 +
[[Deligne-Lusztig characters]] |
 
[[Diagonal group]] |
 
[[Diagonal group]] |
 
[[Diagonalizable algebraic group]] |
 
[[Diagonalizable algebraic group]] |
 +
[[Dieudonné module]] |
 
[[Differential algebra]] |
 
[[Differential algebra]] |
 
[[Dimension polynomial]] |
 
[[Dimension polynomial]] |
Line 48: Line 245:
 
[[Finite group]] |
 
[[Finite group]] |
 
[[Finiteness theorems]] |
 
[[Finiteness theorems]] |
 +
[[Flag structure]] |
 
[[Flag]] |
 
[[Flag]] |
−
[[Flag structure]] |
+
[[Form of an (algebraic) structure]] |
 +
[[Form of an algebraic group]] |
 
[[Formal group]] |
 
[[Formal group]] |
−
[[Form of an algebraic group]] |
 
−
[[Form of an (algebraic) structure]] |
 
 
[[Galois cohomology]] |
 
[[Galois cohomology]] |
 +
[[Gel'fond-Schneider method]] |
 
[[General linear group]] |
 
[[General linear group]] |
 
[[General position]] |
 
[[General position]] |
−
[[Group]] |
 
 
[[Group of finite Morley rank]] |
 
[[Group of finite Morley rank]] |
 
[[Group scheme]] |
 
[[Group scheme]] |
 +
[[Group]] |
 
[[Hasse principle]] |
 
[[Hasse principle]] |
 
[[Hilbert theorem]] |
 
[[Hilbert theorem]] |
 +
[[Homogeneous space of an algebraic group]] |
 
[[Homogeneous space]] |
 
[[Homogeneous space]] |
−
[[Homogeneous space of an algebraic group]] |
 
 
[[Hopf algebra]] |
 
[[Hopf algebra]] |
 
[[Idele]] |
 
[[Idele]] |
 +
[[Idèle]] |
 
[[Invariants, theory of]] |
 
[[Invariants, theory of]] |
 
[[Iwasawa decomposition]] |
 
[[Iwasawa decomposition]] |
Line 72: Line 271:
 
[[Jordan matrix]] |
 
[[Jordan matrix]] |
 
[[Kempf vanishing theorem]] |
 
[[Kempf vanishing theorem]] |
−
[[Lie algebra]] |
+
[[Kneser-Tits hypothesis]] |
 +
[[Kähler-Einstein metric]] |
 +
[[Leibniz-Hopf algebra]] |
 +
[[Levi-Mal'tsev decomposition]] |
 +
[[Lie algebra of an algebraic group]] |
 
[[Lie algebra, algebraic]] |
 
[[Lie algebra, algebraic]] |
−
[[Lie algebra of an algebraic group]] |
 
 
[[Lie algebra, reductive]] |
 
[[Lie algebra, reductive]] |
 
[[Lie algebra, semi-simple]] |
 
[[Lie algebra, semi-simple]] |
 
[[Lie algebra, solvable]] |
 
[[Lie algebra, solvable]] |
 
[[Lie algebra, supersolvable]] |
 
[[Lie algebra, supersolvable]] |
−
[[Lie group]] |
+
[[Lie algebra]] |
 
[[Lie group, compact]] |
 
[[Lie group, compact]] |
 
[[Lie group, nilpotent]] |
 
[[Lie group, nilpotent]] |
Line 85: Line 287:
 
[[Lie group, solvable]] |
 
[[Lie group, solvable]] |
 
[[Lie group, supersolvable]] |
 
[[Lie group, supersolvable]] |
 +
[[Lie group]] |
 
[[Lie p-algebra]] |
 
[[Lie p-algebra]] |
 
[[Lie theorem]] |
 
[[Lie theorem]] |
Line 107: Line 310:
 
[[Quasi-split group]] |
 
[[Quasi-split group]] |
 
[[Radical of a group]] |
 
[[Radical of a group]] |
−
[[Rank]] |
 
 
[[Rank of a Lie group]] |
 
[[Rank of a Lie group]] |
 
[[Rank of an algebraic group]] |
 
[[Rank of an algebraic group]] |
−
[[Rationality theorems]] |
+
[[Rank]] |
 
[[Rational representation]] |
 
[[Rational representation]] |
 
[[Rational singularity]] |
 
[[Rational singularity]] |
 +
[[Rationality theorems]] |
 
[[Reduced scheme]] |
 
[[Reduced scheme]] |
 
[[Reductive group]] |
 
[[Reductive group]] |
Line 157: Line 360:
 
[[Unipotent element]] |
 
[[Unipotent element]] |
 
[[Unipotent group]] |
 
[[Unipotent group]] |
 +
[[Weil-Châtelet group]] |
 
[[Weyl group]] |
 
[[Weyl group]] |
 
[[Weyl module]] |
 
[[Weyl module]] |
 
[[Witt vector]] |
 
[[Witt vector]] |
 
[[Zeta-function]] |
 
[[Zeta-function]] |

Latest revision as of 16:36, 31 March 2012

These 168 pages do contain the keyword "algebraic group":

They are grouped according certain aspects. Below the list of all pages. Work in progress

Analytic aspects

Analytic group | Automorphic function | Compact group | Complexification of a Lie group | Kähler-Einstein metric | Lie group, compact | Lie group, nilpotent | Lie group, semi-simple | Lie group, solvable | Lie group, supersolvable | Lie group |

Arithmetic aspects

Adele group | Arithmetic group | Congruence subgroup problem | Congruence subgroup | Discrete subgroup | Hasse principle | Idele | Linear algebraic groups, arithmetic theory of | Tamagawa measure | Tamagawa number |

Examples

General linear group | Linear algebraic group | Linear group | Orthogonal group | Spinor group | Symplectic group |

Geometrical aspects

Abelian variety | Algebraic group of transformations | Algebraic variety, automorphism of an | Borel fixed-point theorem | Classical group | Deformation | Flag structure | Flag | Formal group | Group scheme | Homogeneous space of an algebraic group | Homogeneous space | Hopf algebra | Lie theorem | Matsushima criterion | Moduli theory | Mumford hypothesis | Orbit | Quantum groups | Satake compactification | Schubert calculus | Schubert cell | Schubert cycle | Schubert variety | Tits building | Transformation group |

Group theory

Character group | Character of a group | Finite group | Group of finite Morley rank | Group | Simple group |

Invariant theory

Comitant | Invariants, theory of |

Lie algebras

Levi-Mal'tsev decomposition | Lie algebra of an algebraic group | Lie algebra, algebraic | Lie algebra, reductive | Lie algebra, semi-simple | Lie algebra, solvable | Lie algebra, supersolvable | Lie algebra | Lie p-algebra |

Representations

Adjoint representation of a Lie group | Complementary series (of representations) | Contragredient representation | Deligne-Lusztig characters | Representation of a compact group(2) | Representation of a group | Weyl module |

Structural aspects

Adjoint group | Algebraic group | Algebraic torus | Anisotropic group | Anisotropic kernel | Borel subgroup | Bruhat decomposition | Cartan subalgebra | Cartan subgroup | Cartan theorem | Chevalley group | Connected component of the identity | Diagonal group | Diagonalizable algebraic group | Form of an (algebraic) structure | Form of an algebraic group | Iwasawa decomposition | Jordan decomposition | Jordan matrix | Kneser-Tits hypothesis | Maximal torus | Parabolic subalgebra | Parabolic subgroup | Quasi-split group | Radical of a group | Rank of a Lie group | Rank of an algebraic group | Rank | Reductive group | Regular torus | Relative root system | Semi-simple algebraic group | Semi-simple element | Simply-connected group | Split group | Tits system | Torus | Unipotent element | Unipotent group | Weyl group |

None of the above

Algebraic curve | Algebraic geometry | Algebraic independence | Algebraic surface | Constructible subset | Dieudonné module | Differential algebra | Dimension polynomial | Dixmier mapping | Duality | Extension of a differential field | Finiteness theorems | Galois cohomology | Gel'fond-Schneider method | General position | Hilbert theorem | Jacobi variety | Jordan algebra | Kempf vanishing theorem | Leibniz-Hopf algebra | Non-Abelian cohomology | Period mapping | Picard group | Picard scheme | Principal analytic fibration | Principal homogeneous space | Rational representation | Rational singularity | Rationality theorems | Reduced scheme | Schneider method | Selberg conjecture | Semi-invariant(2) | Shimura variety | Singular point | Smooth scheme | Solv manifold | Stability theorems in algebraic K-theory | Stability theory (in logic) | Steinberg module | Steinberg symbol | Tilting theory | Tits quadratic form | Topological dynamical system | Transcendental number | Trigonalizable element | Uniform distribution | Uniform subgroup | Weil-Châtelet group | Witt vector | Zeta-function |


All pages containing the keywords algebraic group

Abelian variety | Adele group | Adjoint group | Adjoint representation of a Lie group | Algebraic curve | Algebraic geometry | Algebraic group of transformations | Algebraic group | Algebraic independence | Algebraic surface | Algebraic torus | Algebraic variety, automorphism of an | Analytic group | Anisotropic group | Anisotropic kernel | Arithmetic group | Automorphic function | Borel fixed-point theorem | Borel subgroup | Bruhat decomposition | Cartan subalgebra | Cartan subgroup | Cartan theorem | Character group | Character of a group | Chevalley group | Classical group | Comitant | Compact group | Complementary series (of representations) | Complexification of a Lie group | Congruence subgroup problem | Congruence subgroup | Connected component of the identity | Constructible subset | Contragredient representation | Deformation | Deligne-Lusztig characters | Diagonal group | Diagonalizable algebraic group | Dieudonné module | Differential algebra | Dimension polynomial | Discrete subgroup | Dixmier mapping | Duality | Extension of a differential field | Finite group | Finiteness theorems | Flag structure | Flag | Form of an (algebraic) structure | Form of an algebraic group | Formal group | Galois cohomology | Gel'fond-Schneider method | General linear group | General position | Group of finite Morley rank | Group scheme | Group | Hasse principle | Hilbert theorem | Homogeneous space of an algebraic group | Homogeneous space | Hopf algebra | Idele | Idèle | Invariants, theory of | Iwasawa decomposition | Jacobi variety | Jordan algebra | Jordan decomposition | Jordan matrix | Kempf vanishing theorem | Kneser-Tits hypothesis | Kähler-Einstein metric | Leibniz-Hopf algebra | Levi-Mal'tsev decomposition | Lie algebra of an algebraic group | Lie algebra, algebraic | Lie algebra, reductive | Lie algebra, semi-simple | Lie algebra, solvable | Lie algebra, supersolvable | Lie algebra | Lie group, compact | Lie group, nilpotent | Lie group, semi-simple | Lie group, solvable | Lie group, supersolvable | Lie group | Lie p-algebra | Lie theorem | Linear algebraic group | Linear algebraic groups, arithmetic theory of | Linear group | Matsushima criterion | Maximal torus | Moduli theory | Mumford hypothesis | Non-Abelian cohomology | Orbit | Orthogonal group | Parabolic subalgebra | Parabolic subgroup | Period mapping | Picard group | Picard scheme | Principal analytic fibration | Principal homogeneous space | Quantum groups | Quasi-split group | Radical of a group | Rank of a Lie group | Rank of an algebraic group | Rank | Rational representation | Rational singularity | Rationality theorems | Reduced scheme | Reductive group | Regular torus | Relative root system | Representation of a compact group(2) | Representation of a group | Satake compactification | Schneider method | Schubert calculus | Schubert cell | Schubert cycle | Schubert variety | Selberg conjecture | Semi-invariant(2) | Semi-simple algebraic group | Semi-simple element | Shimura variety | Simple group | Simply-connected group | Singular point | Smooth scheme | Solv manifold | Spinor group | Split group | Stability theorems in algebraic K-theory | Stability theory (in logic) | Steinberg module | Steinberg symbol | Symplectic group | Tamagawa measure | Tamagawa number | Tilting theory | Tits building | Tits quadratic form | Tits system | Topological dynamical system | Torus | Transcendental number | Transformation group | Trigonalizable element | Uniform distribution | Uniform subgroup | Unipotent element | Unipotent group | Weil-Châtelet group | Weyl group | Weyl module | Witt vector | Zeta-function |

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Ulf Rehmann/pages related to algebraic groups. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Ulf_Rehmann/pages_related_to_algebraic_groups&oldid=21589
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