Gerhard Roehrle

activity

20072018

collaborators

4 papers

math.RT2018

On the Invariants of the Cohomology of Complements of Coxeter Arrangements

J. Matthew Douglass, Goetz Pfeiffer, Gerhard Roehrle

We refine Brieskorn's study of the cohomology of the complement of the reflection arrangement of a finite Coxeter group $W$ . As a result we complete the verification of a conjectur…

math.GR2018

The modality of a Borel subgroup in a simple algebraic group of type $E_{8}$

Simon Goodwin, Peter Mosch, Gerhard Roehrle

Let $G$ be a simple algebraic group over an algebraically closed field $k$ , where $char k$ is either 0 or a good prime for $G$ . We consider the modality $\mathrm{mod}(B…

math.CO2016

Localizations of inductively factored arrangements

Tilman Moeller, Gerhard Roehrle

We show that the class of inductively factored arrangements is closed under taking localizations. We illustrate the usefulness of this with an application.

math.GR2007

Alperin's Conjecture for Algebraic Groups

Gerhard Roehrle, Raphael Rouquier

We prove analogues for reductive algebraic groups of some results for finite groups due to Knoerr and Robinson which play a central role in their reformulation of Alperin's conject…

On the Invariants of the Cohomology of Complements of Coxeter Arrangements

The modality of a Borel subgroup in a simple algebraic group of type E8​

Localizations of inductively factored arrangements

Alperin's Conjecture for Algebraic Groups

The modality of a Borel subgroup in a simple algebraic group of type $E_{8}$