Nilpotent subalgebras of semisimple Lie algebras

@article{Levy2009NilpotentSO,
  title={Nilpotent subalgebras of semisimple Lie algebras},
  author={Paul Blain Levy and George J. McNinch and Donna M. Testerman},
  journal={Comptes Rendus Mathematique},
  year={2009},
  volume={347},
  pages={477-482}
}

Varieties of elementary subalgebras of maximal dimension for modular Lie algebras

Motivated by questions in modular representation theory, Carlson, Friedlander, and the first author introduced the varieties E(r, g) of r-dimensional abelian p-nilpotent subalgebras of a p-restricted

Rational points and orbits on the variety of elementary subalgebras

Maximal subalgebras of the exceptional Lie algebras in low characteristic

In this thesis we consider the maximal subalgebras of the exceptional Lie algebras in algebraically closed fields of positive characteristic. This begins with a quick recap of the article by Herpel

Integration questions in separably good characteristics

Let G be a reductive group over an algebraically closed field k of separably good characteristic p > 0 for G. Under these assumptions a Springer isomorphism φ : Nred(g)→ Vred(G) always exists,

Analogues of Morozov Theorem in characteristic p>0

Let k be an algebraically closed field of characteristic p > 0 and let G be a reductive k - group. In this article we prove an analogue of Morozov’s Theorem when p is separably good for G and under

Homogeneous projective bundles over abelian varieties

We consider those projective bundles (or Brauer-Severi varieties) over an abelian variety that are homogeneous, i.e., invariant under translation. We describe the structure of these bundles in terms

Generic smoothness for $G$-valued potentially semi-stable deformation rings

We extend Kisin's results on the structure of characteristic $0$ Galois deformation rings to deformation rings of Galois representations valued in arbitrary connected reductive groups $G$. In

Varieties of elementary abelian Lie algebras and degrees of modules

<p>Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="left-parenthesis German g comma left-bracket p right-bracket right-parenthesis">

References

SHOWING 1-10 OF 15 REFERENCES

Normal, unipotent subgroup schemes of reductive groups

Nilpotent Orbits in Representation Theory

The term “nilpotent orbits” in the title is an abbreviation for “orbits consisting of nilpotent elements.” We shall consider here such orbits only for the adjoint action of a reductive algebraic

The maximal subgroups of positive dimension in exceptional algebraic groups

Introduction Preliminaries Maximal subgroups of type $A_1$ Maximal subgroups of type $A_2$ Maximal subgroups of type $B_2$ Maximal subgroups of type $G_2$ Maximal subgroups $X$ with rank$(X)\geq3$

Seminar on Algebraic Groups and Related Finite Groups

Properties and linear representations of Chevalley groups.- Modular representations of finite groups with split (B, N)-pairs.- Cusp forms for finite groups.- Characters of special groups.- Conjugacy

Linear Algebraic Groups

Conventions and notation background material from algebraic geometry general notions associated with algebraic groups homogeneous spaces solvable groups Borel subgroups reductive groups rationality

Groupes et algèbres de Lie

Les Elements de mathematique de Nicolas Bourbaki ont pour objet une presentation rigoureuse, systematique et sans prerequis des mathematiques depuis leurs fondements. Ce premier volume du Livre sur

Nilpotent Orbits in Good Characteristics and the Kempf Rousseau Theory

Graduate Texts in Mathematics

Graduate Texts in Mathematics bridge the gap between passive study and creative understanding, offering graduate-level introductions to advanced topics in mathematics. The volumes are carefully

Torsion in reductive groups