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Subjects
20-XX Group theory and generalizations
20Gxx Linear algebraic groups and related topics
20G15 Linear algebraic groups over arbitrary fields

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Displaying 1 – 20 of 21

Tamagawa number of reductive algebraic groups

K. F. Lai (1980)

Compositio Mathematica

The 1-Cohomology of the Adjoint Module of a Chevalley Group.

Helmut Völklein (1989)

Forum mathematicum

The 27-dimensional module for E6. I.

M. Aschbacher (1987)

Inventiones mathematicae

The automorphisms of the orthogonal groups ... n (V), n ... 5.

Arnold A. Johnson (1978)

Journal für die reine und angewandte Mathematik

The Conjugating Representation of a Semisimple Group.

R.W. Richardson (1979)

Inventiones mathematicae

The defect of weak approximation for homogeneous spaces

Mikhail Borovoi (1999)

Annales de la Faculté des sciences de Toulouse : Mathématiques

The density of representation degrees

Martin Liebeck, Dan Segal, Aner Shalev (2012)

Journal of the European Mathematical Society

For a group $G$ and a positive real number $x$ , define $d_{G} (x)$ to be the number of integers less than $x$ which are dimensions of irreducible complex representations of $G$ . We study the asymptotics of $d_{G} (x)$ for algebraic groups, arithmetic groups and finitely generated linear groups. In particular we prove an “alternative” for finitely generated linear groups $G$ in characteristic zero, showing that either there exists $α > 0$ such that $d_{G} (x) > x^{α}$ for all large $x$ , or $G$ is virtually abelian (in which case $d_{G} (x)$ is bounded).

The equations of conjugacy classes of nilpotent matrices.

J. Weyman (1989)

Inventiones mathematicae

The First Cohomology Group of a Line Bundle on G/B.

Henning Haahr Andersen (1979)

Inventiones mathematicae

The Geometry of Representations of Am .

S. Abeasis, A. Fra, H. del Kraft (1981)

Mathematische Annalen

The homology of special linear groups over polynomial rings

Kevin P. Knudson (1997)

Annales scientifiques de l'École Normale Supérieure

The Lattice automorphisms of simple algebraic groups over F2.

Mauro Constantini (1996)

Manuscripta mathematica

The monoid of semisimple multiclasses of the group $G = G_{2} (K)$ .

Kornienko, M.N. (2002)

Zapiski Nauchnykh Seminarov POMI

The multipliers of similitudes and the Brauer group of homogeneous varieties.

J.-P. Tignol, A.S. Merkurjev (1995)

Journal für die reine und angewandte Mathematik

The normality of closures of conjugacy classes of matrices.

Stephen Donkin (1990)

Inventiones mathematicae

The split building of a reductive group.

G.I. Lehrer, L.J. Rylands (1993)

Mathematische Annalen

The Steinberg Function of a Finite Lie Algebra.

T.A. Springer (1980)

Inventiones mathematicae

The strong linkage principle.

Henning Haahr Andersen (1980)

Journal für die reine und angewandte Mathematik

The Structure of the Linear Homogeneous Groups Defined by the Invariant ...........................

Leonard Eugene Dickson (1899)

Mathematische Annalen

The Zassenhaus decomposition for the orthogonal group: properties and applications.

Hahn, Alexander (2001)

Documenta Mathematica

Currently displaying 1 – 20 of 21

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