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m
m (algebraic group pages preordered)
 
Line 9: Line 9:
 
[[Compact group]] |
 
[[Compact group]] |
 
[[Complexification of a Lie group]] |
 
[[Complexification of a Lie group]] |
 +
[[Kähler-Einstein metric]] |
 
[[Lie group, compact]] |
 
[[Lie group, compact]] |
 
[[Lie group, nilpotent]] |
 
[[Lie group, nilpotent]] |
Line 77: Line 78:
  
 
===Lie algebras===
 
===Lie algebras===
 +
[[Levi-Mal'tsev decomposition]] |
 
[[Lie algebra of an algebraic group]] |
 
[[Lie algebra of an algebraic group]] |
 
[[Lie algebra, algebraic]] |
 
[[Lie algebra, algebraic]] |
Line 90: Line 92:
 
[[Complementary series (of representations)]] |
 
[[Complementary series (of representations)]] |
 
[[Contragredient representation]] |
 
[[Contragredient representation]] |
 +
[[Deligne-Lusztig characters]] |
 
[[Representation of a compact group(2)]] |
 
[[Representation of a compact group(2)]] |
 
[[Representation of a group]] |
 
[[Representation of a group]] |
Line 114: Line 117:
 
[[Jordan decomposition]] |
 
[[Jordan decomposition]] |
 
[[Jordan matrix]] |
 
[[Jordan matrix]] |
 +
[[Kneser-Tits hypothesis]] |
 
[[Maximal torus]] |
 
[[Maximal torus]] |
 
[[Parabolic subalgebra]] |
 
[[Parabolic subalgebra]] |
Line 134: Line 138:
 
[[Unipotent group]] |
 
[[Unipotent group]] |
 
[[Weyl group]] |
 
[[Weyl group]] |
−
 
−
** [[Deligne-Lusztig characters]] |
 
−
** [[Dieudonné module]] |
 
−
** [[Gel'fond-Schneider method]] |
 
−
** [[Idèle]] |
 
−
** [[Kähler-Einstein metric]] |
 
−
** [[Kneser-Tits hypothesis]] |
 
−
** [[Leibniz-Hopf algebra]] |
 
−
** [[Levi-Mal'tsev decomposition]] |
 
−
** [[Weil-Châtelet group]] |
 
−
 
  
 
===None of the above===
 
===None of the above===
Line 152: Line 145:
 
[[Algebraic surface]] |
 
[[Algebraic surface]] |
 
[[Constructible subset]] |
 
[[Constructible subset]] |
 +
[[Dieudonné module]] |
 
[[Differential algebra]] |
 
[[Differential algebra]] |
 
[[Dimension polynomial]] |
 
[[Dimension polynomial]] |
Line 159: Line 153:
 
[[Finiteness theorems]] |
 
[[Finiteness theorems]] |
 
[[Galois cohomology]] |
 
[[Galois cohomology]] |
 +
[[Gel'fond-Schneider method]] |
 
[[General position]] |
 
[[General position]] |
 
[[Hilbert theorem]] |
 
[[Hilbert theorem]] |
Line 164: Line 159:
 
[[Jordan algebra]] |
 
[[Jordan algebra]] |
 
[[Kempf vanishing theorem]] |
 
[[Kempf vanishing theorem]] |
 +
[[Leibniz-Hopf algebra]] |
 
[[Non-Abelian cohomology]] |
 
[[Non-Abelian cohomology]] |
 
[[Period mapping]] |
 
[[Period mapping]] |
Line 192: Line 188:
 
[[Uniform distribution]] |
 
[[Uniform distribution]] |
 
[[Uniform subgroup]] |
 
[[Uniform subgroup]] |
 +
[[Weil-Châtelet group]] |
 
[[Witt vector]] |
 
[[Witt vector]] |
 
[[Zeta-function]] |
 
[[Zeta-function]] |
Line 197: Line 194:
  
 
===All pages containing the keywords ''algebraic group''===
 
===All pages containing the keywords ''algebraic group''===
 +
  
 
[[Abelian variety]] |
 
[[Abelian variety]] |
Line 235: Line 233:
 
[[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 251: Line 251:
 
[[Formal group]] |
 
[[Formal group]] |
 
[[Galois cohomology]] |
 
[[Galois cohomology]] |
 +
[[Gel'fond-Schneider method]] |
 
[[General linear group]] |
 
[[General linear group]] |
 
[[General position]] |
 
[[General position]] |
Line 262: Line 263:
 
[[Hopf algebra]] |
 
[[Hopf algebra]] |
 
[[Idele]] |
 
[[Idele]] |
 +
[[Idèle]] |
 
[[Invariants, theory of]] |
 
[[Invariants, theory of]] |
 
[[Iwasawa decomposition]] |
 
[[Iwasawa decomposition]] |
Line 269: Line 271:
 
[[Jordan matrix]] |
 
[[Jordan matrix]] |
 
[[Kempf vanishing theorem]] |
 
[[Kempf vanishing theorem]] |
 +
[[Kneser-Tits hypothesis]] |
 +
[[Kähler-Einstein metric]] |
 +
[[Leibniz-Hopf algebra]] |
 +
[[Levi-Mal'tsev decomposition]] |
 
[[Lie algebra of an algebraic group]] |
 
[[Lie algebra of an algebraic group]] |
 
[[Lie algebra, algebraic]] |
 
[[Lie algebra, algebraic]] |
Line 354: 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=24025
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