Publications related to Cocycle growth for the Steinberg representation

Reductive overgroups of distinguished unipotent elements in simple algebraic groups

Let

G

be a simple linear algebraic group over an algebraically closed field

K

of characteristic

p \geq 0

. In this thesis, we investigate closed connected reductive subgroups

X < G

that contain a given distinguished unipotent element

u

of

G

. Our ...

EPFL2018

On irreducible subgroups of simple algebraic groups

Donna Testerman, Claude Marion

Let G be a simple algebraic group over an algebraically closed field K of characteristic p >= 0, let H be a proper closed subgroup of G and let V be a nontrivial irreducible KG-module, which is p-restricted, tensor indecomposable and rational. Assume that ...

Springer Heidelberg2017

Invariant forms on irreducible modules of simple algebraic groups

Mikko Tapani Korhonen

Let G be a simple linear algebraic group over an algebraically dosed field K of characteristic p >= 0 and let V be an irreducible rational G-module with highest weight A. When is self-dual, a basic question to ask is whether V has a non-degenerate G-invari ...

Elsevier2017

FaCSI: A block parallel preconditioner for fluid-structure interaction in hemodynamics

Alfio Quarteroni, Simone Deparis, Davide Forti, Gwenol Grandperrin

Modeling Fluid-Structure Interaction (FSI) in the vascular system is mandatory to reliably compute mechanical indicators in vessels undergoing large deformations. In order to cope with the computational complexity of the coupled 3D FSI problem after discre ...

Academic Press Inc Elsevier Science2016

Examples of algebraic groups of type G (2) having the same maximal tori

Ting-Yu Lee

Answering a question of A. Rapinchuk, we construct examples of non-isomorphic semisimple algebraic groups H (1) and H (2) of type G (2) having coherently equivalent systems of maximal k-tori. ...

Maik Nauka/Interperiodica/Springer2016

Double centralizers of unipotent elements in simple algebraic groups of type $E_7$ and $E_8$

Iulian Ion Simion

This article addresses questions about the double centralizer of unipotent elements u in simple algebraic groups G of type and defined over algebraically closed fields of bad characteristic. We use the method developed in [14] to determine , deduce its dim ...

2015

Distinguished unipotent elements and multiplicity-free subgroups of simple algebraic groups

Donna Testerman, Martin W. Liebeck

For G a simple algebraic group over an algebraically closed field of characteristic 0, we determine the irreducible representations ρ:G→I(V), where I(V) denotes one of the classical groups SL(V), Sp(V), SO(V), such that ρ sends some distinguished unipotent ...

2015

Subgroups Of Simple Algebraic Groups Containing Regular Tori, And Irreducible Representations With Multiplicity 1 Non-Zero Weights

Donna Testerman

Our main goal is to determine, under certain restrictions, the maximal closed connected subgroups of simple linear algebraic groups containing a regular torus. We call a torus regular if its centralizer is abelian. We also obtain some results of independen ...

Springer Verlag2015

Restricting representations of classical algebraic groups to maximal subgroups

Mikaël Cavallin

Fix an algebraically closed field

K

having characteristic

p\geq 0

and let

Y

be a simple algebraic group of classical type over

K.

Also let

X

be maximal among closed connected subgroups of

Y

and consider a non-trivial

p

-restricted irreducible ...

EPFL2015

MATHICSE Technical Report : FaCSI : A block parallel preconditioner for fluid-structure interaction in hemodynamics

Alfio Quarteroni, Simone Deparis, Davide Forti, Gwenol Grandperrin

Modeling Fluid-Structure Interaction (FSI) in the vascular system is mandatory to reliably compute mechanical indicators in vessels undergoing large deformations. In order to cope with the computational complexity of the coupled 3D FSI problem after discre ...

MATHICSE2015

Cocycle growth for the Steinberg representation

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Reductive overgroups of distinguished unipotent elements in simple algebraic groups

On irreducible subgroups of simple algebraic groups

Invariant forms on irreducible modules of simple algebraic groups

FaCSI: A block parallel preconditioner for fluid-structure interaction in hemodynamics

Examples of algebraic groups of type G (2) having the same maximal tori

Double centralizers of unipotent elements in simple algebraic groups of type $E_7$ and $E_8$

Distinguished unipotent elements and multiplicity-free subgroups of simple algebraic groups

Subgroups Of Simple Algebraic Groups Containing Regular Tori, And Irreducible Representations With Multiplicity 1 Non-Zero Weights

Restricting representations of classical algebraic groups to maximal subgroups

MATHICSE Technical Report : FaCSI : A block parallel preconditioner for fluid-structure interaction in hemodynamics

On irreducible subgroups of simple algebraic groups

Distinguished unipotent elements and multiplicity-free subgroups of simple algebraic groups

Examples of algebraic groups of type G (2) having the same maximal tori

Reductive overgroups of distinguished unipotent elements in simple algebraic groups

Restricting representations of classical algebraic groups to maximal subgroups

Double centralizers of unipotent elements in simple algebraic groups of type $E_7$ and $E_8$

Subgroups Of Simple Algebraic Groups Containing Regular Tori, And Irreducible Representations With Multiplicity 1 Non-Zero Weights

FaCSI: A block parallel preconditioner for fluid-structure interaction in hemodynamics

Invariant forms on irreducible modules of simple algebraic groups

MATHICSE Technical Report : FaCSI : A block parallel preconditioner for fluid-structure interaction in hemodynamics