12 Citations
Varieties of elementary subalgebras of maximal dimension for modular Lie algebras
- Mathematics
- 2015
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…
Maximal subalgebras of the exceptional Lie algebras in low characteristic
- Mathematics
- 2018
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
- Mathematics
- 2021
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
- Mathematics
- 2021
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…
A modular analogue of Morozov's theorem on maximal subalgebras of simple Lie algebras
- Mathematics
- 2015
Homogeneous projective bundles over abelian varieties
- Mathematics
- 2013
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
- Mathematics
- 2014
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
- MathematicsRepresentation Theory of the American Mathematical Society
- 2021
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References
SHOWING 1-10 OF 15 REFERENCES
Nilpotent Orbits in Representation Theory
- Mathematics
- 2004
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
- Mathematics
- 2004
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
- Mathematics
- 1970
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
- Mathematics
- 1991
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
- Philosophy
- 1971
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…
Graduate Texts in Mathematics
- Education
- 1982
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…