# User:Ulf Rehmann/pages related to algebraic groups

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

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

## Contents

### 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 |

**How to Cite This Entry:**

Ulf Rehmann/pages related to algebraic groups.

*Encyclopedia of Mathematics.*URL: http://www.encyclopediaofmath.org/index.php?title=Ulf_Rehmann/pages_related_to_algebraic_groups&oldid=24026