English

On decomposition numbers and Alvis-Curtis duality

Representation Theory 2019-05-01 v2

Abstract

We show that for general linear groups GLn(q){\rm GL}_n(q) as well as for qq-Schur algebras the knowledge of the modular Alvis-Curtis duality over fields of characteristic \ell, q\ell \nmid q, is equivalent to the knowledge of the decomposition numbers.

Cite

@article{arxiv.0709.3223,
  title  = {On decomposition numbers and Alvis-Curtis duality},
  author = {Bernd Ackermann and Sibylle Schroll},
  journal= {arXiv preprint arXiv:0709.3223},
  year   = {2019}
}

Comments

to appear in Math. Proc. Cam. Philos. Soc

R2 v1 2026-06-21T09:19:30.226Z