P. Sobaje

activity

20122025

most citedCounterexamples to the Tilting and

(p, r)

-Filtration Conjectures

2 citations · 2 across the 5 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.RT2019

The Steinberg quotient of a tilting character

Paul Sobaje

Let $G$ be a simple algebraic group over an algebraically closed field of prime characteristic. If $M$ is a finite dimensional $G$ -module that is projective over the Frobenius kern…

math.RT2019★ 2 cited

Counterexamples to the Tilting and $(p, r)$ -Filtration Conjectures

Christopher P. Bendel, Daniel K. Nakano, Cornelius Pillen +1

In this paper the authors produce a projective indecomposable module for the Frobenius kernel of a simple algebraic group in characteristic $p$ that is not the restriction of an in…

math.RT2019

On character formulas for simple and tilting modules

Paul Sobaje

We show that the characters of tilting modules can be used, in a concrete and explicit way, to obtain the simple characters of a connected reductive algebraic group $G$ over an alg…

The Steinberg quotient of a tilting character

Counterexamples to the Tilting and (p,r)-Filtration Conjectures

On character formulas for simple and tilting modules

Counterexamples to the Tilting and $(p, r)$ -Filtration Conjectures