## 37 Citations

### Adjoint Jordan Blocks

- Mathematics
- 2002

Let G be a quasisimple algebraic group over an algebraically closed field of characteristic p>0. We suppose that p is very good for G; since p is good, there is a bijection between the nilpotent…

### On the conjugacy classes in maximal unipotent subgroups of simple algebraic groups

- Mathematics
- 2006

Let G be a simple algebraic group over the algebraically closed field k of characteristic p ≥ 0. Assume p is zero or good for G. Let B be a Borel subgroup of G; we write U for the unipotent radical…

### SPRINGER ISOMORPHISMS IN CHARACTERISTIC p

- Mathematics
- 2012

Let G be a simple algebraic group over an algebraically closed field of characteristic p, and assume that p is a separably good prime for G. Let P be a parabolic subgroup whose unipotent radical UP…

### Rationality properties of nilpotent orbits in good characteristic

- Mathematics
- 2002

Let X be an F-rational nilpotent element in the Lie algebra of a connected and reductive group G defined over the ground field F. One may associate to X certain cocharacters of G with favorable…

### 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…

### Nilpotent orbits over ground fields of good characteristic

- Mathematics
- 2004

Abstract.Let X be an F-rational nilpotent element in the Lie algebra of a connected and reductive group G defined over the ground field F. Suppose that the Lie algebra has a non-degenerate invariant…

### Global Cayley maps and conjugacy class sizes of maximal unipotent subgroups of finite simple groups of Lie type

- Mathematics
- 2012

### SUPPORT VARIETIES FOR MODULES OVER CHEVALLEY GROUPS AND CLASSICAL LIE ALGEBRAS

- Mathematics
- 2007

Let G be a connected reductive algebraic group over an algebraically closed field of characteristic p > 0, G 1 be the first Frobenius kernel, and G(F p ) be the corresponding finite Chevalley group.…

## References

SHOWING 1-10 OF 31 REFERENCES

### On some simple groups defined by C. Chevalley

- Mathematics
- 1957

Introduction. For any semi-simple Lie algebra g over the field of complex numbers and an arbitrary field K, C. Chevalley [2] defined a group © by a uniform method. The group © turns out to be simple…

### An analogue of the Jacobson-Morozov theorem for Lie algebras of reductive groups of good characteristics

- Mathematics
- 1995

Let g be the Lie algebra of a connected reductive group G over an algebraically closed field of characteristic p > 0. Suppose that G(1) is simply connected and p is good for the root system of G.…

### Witt groups and unipotent elements in algebraic groups

- Mathematics
- 2001

Let G be a semisimple algebraic group defined over an algebraically closed field K of good characteristic p>0. Let u be a unipotent element of G of order pt, for some t ∈ N. In this paper it is shown…

### Support varieties for infinitesimal group schemes

- Mathematics
- 1997

The representation theory of a connected smooth affine group scheme over a field k of characteristic p > 0 is faithfully captured by that of its family of Frobenius kernels. Such FRobenius kernels…

### Unipotent elements, tilting modules, and saturation

- Mathematics
- 2000

The results in this paper were motivated by work of Serre [19] where semisimplicity results for representations of arbitrary groups in positive characteristic were established. A key ingredient in…

### Infinitesimal 1-parameter subgroups and cohomology

- Mathematics
- 1997

This is the first of two papers in which we determine the spectrum of the cohomology algebra of infinitesimal group schemes over a field k of characteristic p > 0. Whereas [SFB] is concerned with…

### Frobenius splitting of cotangent bundles of flag varieties

- Mathematics
- 1999

We use the G-invariant non-degenerate form on the Steinberg module to Frobenius split the cotangent bundle of a flag variety in good prime characteristics. This was previously only known for the…

### Conjugacy classes in semisimple algebraic groups

- Mathematics
- 1995

Review of semisimple groups Basic facts about classes and centralizers Centralizers of semisimple elements The adjoint quotient Regular elements Parabolic subgroups and unipotent classes The…

### Finite groups of Lie type: Conjugacy classes and complex characters

- Mathematics
- 1985

BN-Pairs and Coxeter Groups. Maximal Tori and Semisimple Classes. Geometric Conjugacy and Duality. Unipotent Classes. The Steinberg Character. The Generalized Characters of Deligne-Lusztig. Further…