4 papers · 1 filter
A remarkable functor on -modules
Joe Baine, Tasman Fell, Anna Romanov +2
We introduce a new functor on categories of modular representations of reductive algebraic groups. Our functor has remarkable properties. For example it is a tensor functor and sen…
On the geometric approach to the discrete series
Dragan MiliÄiÄ, Anna Romanov
Harish-Chandra classified discrete series representations of real semisimple Lie groups by describing their characters as tempered distributions with an explicit formula on the ell…
Two proofs of a Jantzen Conjecture for Whittaker Modules
Jens Niklas Eberhardt, Anna Romanov
We define a filtration of a standard Whittaker module over a complex semisimple Lie algebra and and establish its fundamental properties. Our filtration specialises to the Jantzen…
An example of the Jantzen filtration of a D-module
Simon Bohun, Anna Romanov
We compute the Jantzen filtration of a D-module on the flag variety of . At each step in the computation, we illustrate the …