Tobias Kildetoft

collaborators

4 papers

math.RT2017

A Conjectural Algorithm for Simple Characters of Algebraic Groups

Tobias Kildetoft

We describe an algorithm, which - given the characters of tilting modules and assuming that Donkin's tilting conjecture is true - computes the characters of simple modules for an a…

math.RT2016

Decomposition of tensor products involving a Steinberg module

Tobias Kildetoft

We study the decomposition of tensor products between a Steinberg module and a costandard module, both as a module for the algebraic group $G$ and when restricted to either a Frobe…

math.RT2016

Simple transitive 2-representations of small quotients of Soergel bimodules

Tobias Kildetoft, Marco Mackaay, Volodymyr Mazorchuk +1

In all finite Coxeter types but $I_{2} (12)$ , $I_{2} (18)$ and $I_{2} (30)$ , we classify simple transitive $2$ -rep\-re\-sen\-ta\-ti\-ons for the quotient of the $2$ -category of Soergel bimo…

math.RT2016

Special modules over positively based algebras

Tobias Kildetoft, Volodymyr Mazorchuk

We use the Perron-Frobenius Theorem to define, study and, in some sense, classify special simple modules over arbitrary finite dimensional positively based algebras. For group alge…