Grading the Translation Functors in type A

Details Grading the Translation Functors in type A Grading the Translation Functors in type A

2003-01-24

arxiv.org/abs/math/0301285v2

Mathematics

Quantum Algebra

Published version. Journal of Algebra. A typo (apparently introduced by the publishers) fixed. We thank Anton Cox for pointing

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Grading the Translation Functors in type A does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Grading the Translation Functors in type A, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Grading the Translation Functors in type A will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-709762