Algebraic ℚ-groups as abstract groups
We analyze the abstract structure of algebraic groups over an algebraically closed field K, using techniques from the theory of groups of
Some finiteness results on triangular automorphisms
In this note we prove that every finite collection of connected algebraic subgroups of the group of triangular automorphisms of the affine space generates a connected solvable algebraic subgroup.
Linear Algebraic Groups without the Normalizer Theorem
One can develop the basic structure theory of linear algebraic groups (the root system, Bruhat decomposition, etc.) in a way that bypasses several major steps in the standard development, including… Expand
On two theorems for flat, affine group schemes over a discrete valuation ring
We include short and elementary proofs of two theorems that characterize reductive group schemes over a discrete valuation ring, in a slightly more general context.
A Note on the Canonical Divisor of Quasi-homogeneous Affine Algebraic Varieties
We give a necessary and sufficient condition for the canonical divisor to vanish on a quasi-homogeneous affine algebraic variety.
Reflection Groups. A Contribution to the Handbook of Algebra
This is a survey article on the theory of finite complex reflection groups. No proofs are given but numerous references are included.
Recent Developments in the Theory of Linear Algebraic Groups: Good Reduction and Finiteness Properties
This is a survey article on some recent developments in the arithmetic theory of linear algebraic groups over higher-dimensional fields, written for the Notices of the AMS.
On modality of representations
For connected simple algebraic groups defined over an algebraically closed field of characteristic zero, the classifications of irreducible algebraic representations of modalities 0, 1, and 2 are… Expand
ON INFINITE DIMENSIONAL ALGEBRAIC TRANSFORMATION GROUPS
We explore orbits, rational invariant functions, and quotients of the natural actions of connected, not necessarily finite dimensional subgroups of the automorphism groups of irreducible algebraic… Expand
SHOWING 1-10 OF 20 REFERENCES
Groupes réductifs sur un corps local
© Publications mathématiques de l’I.H.É.S., 1972, tous droits réservés. L’accès aux archives de la revue « Publications mathématiques de l’I.H.É.S. » (http://… Expand
© Publications mathématiques de l’I.H.É.S., 1965, tous droits réservés. L’accès aux archives de la revue « Publications mathématiques de l’I.H.É.S. » (http://… Expand
- Springer-Verlag, New York
Linear algebraic groups, Second Enlarged Edition, Graduate Texts in Mathematics
- Linear algebraic groups, Second Enlarged Edition, Graduate Texts in Mathematics
Reductive groups, in Automorphic Forms, Representations, and Lfunctions
- Proc. Symp. Pure Math
Tits , Classification of algebraic semisimple groups
- Proc . Symp . Pure Math .
Linear algebraic groups, Graduate Texts in Mathematics
- Linear algebraic groups, Graduate Texts in Mathematics
Compléments à larticle: Groupes réductifs
- Publ. Math. I.H.E.S