4 citations · 8 across the 10 of their papers we have counts for
25 papers
Quantum tilting modules over local rings
Peter Fiebig
We show that tilting modules for quantum groups over local Noetherian domains exist and that the indecomposable tilting modules are parametrized by their highest weight. For this w…
Periodicity for subquotients of the modular category
Peter Fiebig
In this paper we study the category over the hyperalgebra of a reductive algebraic group in positive characteristics. For any locally closed subset of w…
Periodicity of irreducible modular and quantum characters
Peter Fiebig
For a root system R, a field K and an invertible element q in K let U be the associated quantum group, defined via Lusztig's divided powers construction. We study the irreducible c…
Tilting modules and torsion phenomena
Peter Fiebig
We construct families of representations for quantum groups over -algebras that interpolate between Weyl modules and tilting modules. These families might be…
Localization of IC-complexes on Kashiwara's flag scheme and representations of Kac-Moody algebras
Giovanna Carnovale, Francesco Esposito, Peter Fiebig
We study equivariant localization of intersection cohomology complexes on Schubert varieties in Kashiwara's flag manifold. Using moment graph theory, we establish a link to the rep…
Lefschetz operators, Hodge-Riemann forms, and representations
Peter Fiebig
For a field of characteristic we study vector spaces that are graded by the weight lattice of a root system, and are endowed with linear operators in each simple root direc…