arXiv subjects

Steen Ryom-Hansen

Publications and source records attributed to Steen Ryom-Hansen.

21 records · Page 2Linked to original sources

arXiv2009

Grading the Translation Functors in type A

We deal with the representation theory of quantum groups and Hecke algebras at roots of unity. We relate the philosophy of Andersen, Jantzen and Soergel on graded translated functors to the Lascoux, Leclerc and Thibon-algorithm. This goes via the Murphy standard basis theory and the idempotents coming from the Murphy-Jucys operators. Our results lead to a guess on a tilting algorithm outside the lowest $p^2$ alcove, which at least in the $SL_2$-case coincides with Erdmann's results.

math.QA↗

arXiv2009

A q-Analogue of Kempf's vanishing theorem

We use deep properties of Kashiwara's crystal basis to show that the induction functor $ {H}^0 (-) $ introduced by Andersen, Polo and Wen satisfies an analogon of Kempf's vanishing Theorem.

math.RT↗

arXiv2003

The Schaper Formula and the Lascoux, Leclerc and Thibon-algorithm

We deduce the Schaper formula for Hecke-algebras at root of unity from the Jantzen conjecture in the LLT-setup. This explains an observation due to R. Rouquier.

math.QA↗