Grading the Translation Functors in type A

Steen Ryom-Hansen

Grading the Translation Functors in type A

量子代数 2009-05-04 v2

作者: Steen Ryom-Hansen

摘要

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.

关键词

hecke algebra functors in category theory field theory

引用

@article{arxiv.math/0301285,
  title  = {Grading the Translation Functors in type A},
  author = {Steen Ryom-Hansen},
  journal= {arXiv preprint arXiv:math/0301285},
  year   = {2009}
}

备注

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

Grading the Translation Functors in type A

摘要

关键词

引用

备注

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